13888 lines
929 KiB
Plaintext
13888 lines
929 KiB
Plaintext
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(((-I)*Csc[theta]*(((-1/2*I)*r*Sin[theta]*(1 - 7.500000000000001*^-9*
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(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
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r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
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8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
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(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
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16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2)))/r^2 +
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(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
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3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
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(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
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(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/r^3)*(-1 + 3*Sin[theta]^2))*
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((-1.0000000000000001*^-16*
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((3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
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(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
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(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
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(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
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16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
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r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
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2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
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16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
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(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
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2))/r)*Sin[theta]^2)/4 + 3*((3*((16*r)/E^(r^2/4) -
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(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
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E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
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r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
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16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Sin[theta]^2))^2)/
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(-2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
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(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
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(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
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1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
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(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
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(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
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(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)^2 -
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(1.*^-8*(-5.*^-9*(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
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r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
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((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/r^3)*(-1 + 3*Cos[2*theta]) +
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(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
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(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
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(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
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(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
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16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
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r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
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(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
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r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
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8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
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(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/2)^2 +
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(-2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
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(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
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(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
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3*Cos[2*theta]) + 1.5000000000000002*^-8*(168/(E^(r^2/4)*
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r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
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(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
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(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
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((3*((21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
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(21*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2)))/r^4 + (9*(-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2)))/r^3 -
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(2*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
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(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
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(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
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16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
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(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
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2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
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64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
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r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
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(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)/4 + 3*((3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(1 -
|
||
|
|
3*Sin[theta]^2))))/(-2 + 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)^2))/
|
||
|
|
Sqrt[2] + ((I/2)*r*Sin[theta]*(1 - 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Sin[theta]^2))*
|
||
|
|
((5.*^-9*(7.500000000000001*^-9*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*((3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^5 - (21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r))/4 +
|
||
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-3 + Csc[theta]^2)) +
|
||
|
|
3.0000000000000004*^-8*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-3 + Csc[theta]^2)*
|
||
|
|
((3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r))/4 +
|
||
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-3 + Csc[theta]^2)) -
|
||
|
|
(7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-3 +
|
||
|
|
Csc[theta]^2))*((3*((-105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^6 + (105*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (48*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(13*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (3*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r))/4 +
|
||
|
|
3*((-15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(-3 + Csc[theta]^2))))/
|
||
|
|
(7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))^2 -
|
||
|
|
(5.*^-9*(-9.000000000000001*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*r*
|
||
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
((3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4 +
|
||
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Sin[theta]^2)))/
|
||
|
|
(r*(7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)) +
|
||
|
|
(5.*^-9*(-9.000000000000001*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*r*
|
||
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2))/
|
||
|
|
(r*(7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5000000000000002*^-8*Cos[theta]*(-3.0000000000000004*^-8*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])))*(1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Cos[theta] -
|
||
|
|
Cot[theta]*Csc[theta] + 3*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-6.000000000000001*^-8*Cos[
|
||
|
|
theta] + 1.*^-8*Cot[theta]*Csc[theta])))/
|
||
|
|
(r*(7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2))))/
|
||
|
|
Sqrt[2]))/(Sqrt[2]*r) +
|
||
|
|
(-1/2*(-3.0000000000000004*^-8*r*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Cos[theta]*Sin[theta]*
|
||
|
|
((1.5000000000000002*^-8*Cos[theta]*Sin[theta]*
|
||
|
|
(((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4))*
|
||
|
|
(r*(2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.35*^-15*r*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r*(9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5000000000000002*^-8*Cos[theta]*(-3.0000000000000004*^-8*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))*Sin[theta]*
|
||
|
|
(1.8*^-15*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + (1 + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(2 - 3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2) -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(4 - 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
6.000000000000001*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Cos[2*theta] +
|
||
|
|
3.0000000000000004*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
6.000000000000001*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(Cos[2*theta] -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^4)))/
|
||
|
|
((-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(7.500000000000001*^-9*Sin[2*theta]*
|
||
|
|
(-8.*^-8*(9.*^-8*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2 + (168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] + 3*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 2.5*^-9*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-9.*^-8*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2) +
|
||
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
((168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^2 + (-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1.*^-8 - 3.0000000000000004*^-8*Cos[2*theta]))/4) +
|
||
|
|
3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[2*theta])*
|
||
|
|
(-8 + 3.6*^-15*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
6.000000000000001*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 12*Cos[2*theta] - 3.0000000000000004*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 1.8*^-15*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2)))/(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 -
|
||
|
|
(3.0000000000000004*^-8*Cos[theta]*Sin[theta]*
|
||
|
|
(((4.5000000000000006*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(2 -
|
||
|
|
1.2000000000000002*^-7*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
2.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(-2 +
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^2 + (-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 - 7.500000000000001*^-9*r*
|
||
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^3 - (3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) + 1.*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/2 +
|
||
|
|
r*(3*((-15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/r^3) -
|
||
|
|
(3*((-105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
||
|
|
(105*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(48*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (13*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 - (3*((80*r)/
|
||
|
|
E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 64*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/
|
||
|
|
4) + r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*(-1/8*
|
||
|
|
1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4)))*(-4 + 1.8*^-15*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 3.0000000000000004*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 + 1.5000000000000002*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 12*Cos[2*theta] - 3.0000000000000004*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^2 + (-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 9.*^-16*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2))/2 + 1.*^-8*(-1.8*^-7*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 + 6*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(-2 + 3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 - 7.500000000000001*^-9*r*
|
||
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2))*((3*((21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (21*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (9*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*
|
||
|
|
r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 + 3*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-1 + 3*Cos[2*theta] -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]) + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) - 9.*^-8*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2) +
|
||
|
|
r^2*(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
16*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*((5.*^-9*(-9.*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*(-1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2)*
|
||
|
|
(r*(2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.35*^-15*r*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r^2*(9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(5.*^-9*((3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(2 + 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
||
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4))*(r*(2 - 6.000000000000001*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.35*^-15*r*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r^2*(9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(4.5*^-16*Cos[theta]^2*(-3.0000000000000004*^-8*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
||
|
|
(-1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + 6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 1.*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.0000000000000004*^-8*
|
||
|
|
r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)))/
|
||
|
|
(r*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(4.5*^-16*Cos[theta]^2*(-3.0000000000000004*^-8*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
||
|
|
(6.000000000000001*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] -
|
||
|
|
((168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/4 + (-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(2 - 6.000000000000001*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)))/
|
||
|
|
(r*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5000000000000002*^-8*(3.0000000000000004*^-8*
|
||
|
|
(9.*^-8*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] + 3*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 2.5*^-9*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-3.0000000000000004*^-8*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))*Sin[2*theta]^2 + Cos[theta]^2*
|
||
|
|
(-3.0000000000000004*^-8*((3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(1 + 3*Cos[2*theta]) + ((-6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))*(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2) - (-3.0000000000000004*^-8*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))*Sin[theta]^2*(-2 + 9.*^-16*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2) + 6.000000000000001*^-8*
|
||
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) - 3*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2))*Cos[theta]*Sin[theta]*
|
||
|
|
Sin[2*theta]*(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2)))/(r*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.5000000000000002*^-8*(168/(E^(r^2/4)*
|
||
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2) -
|
||
|
|
(5.*^-9*r*(9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Cos[theta]^2*Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*(1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(6*((3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(-2 +
|
||
|
|
3*Sin[theta]^2)*(2 - 6.000000000000001*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 + 7.500000000000001*^-9*r*
|
||
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) + 2*(-6*((3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
3*r*((-15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3) +
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
2 + (3*r*((-105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^6 + (105*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(48*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (13*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(3*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/4)*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 2.7*^-7*((3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(
|
||
|
|
-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2 +
|
||
|
|
2.7*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2) -
|
||
|
|
(r*(2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 + 7.500000000000001*^-9*r*
|
||
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.35*^-15*r*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)*
|
||
|
|
(3.0000000000000004*^-8*((3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-2 + 3*Sin[theta]^2)*(1 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4)*
|
||
|
|
(1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(2*r^2*(-9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Cos[theta]^2*Sin[theta]^2 + (1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*(1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))^2)))/(Sqrt[2]*r) +
|
||
|
|
(-3.0000000000000004*^-8*r*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Cos[theta]*Sin[theta]*
|
||
|
|
((3.0000000000000004*^-16*r*Cos[theta]*Sin[theta]*
|
||
|
|
(-9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2)*
|
||
|
|
(((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4)))/
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 +
|
||
|
|
(3.0000000000000004*^-16*r*Cos[theta]*Sin[theta]*
|
||
|
|
(((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4))*
|
||
|
|
((3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(2 + 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
||
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4)))/
|
||
|
|
((2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(3.0000000000000004*^-8*r*Cos[theta]*Sin[theta]*
|
||
|
|
(-1/2*((((-6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
||
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r^2)*(-1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) - 1.*^-8*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(21*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (9*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(2*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/(4*
|
||
|
|
E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4))*(-4 + 1.8*^-15*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 3.0000000000000004*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
1.5000000000000002*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 12*Cos[2*theta] - 3.0000000000000004*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 9.*^-16*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2)) + 1.*^-8*(((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4))*((3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
||
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-1 + 3*Cos[2*theta] -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]) + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
||
|
|
9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2) +
|
||
|
|
r^2*(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
((-1.0000000000000001*^-16*
|
||
|
|
((3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(2 + 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
||
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4))^2)/
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 +
|
||
|
|
(4.5*^-16*Cos[theta]^2*(-3.0000000000000004*^-8*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])))*Sin[theta]^2*
|
||
|
|
(((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4)))/
|
||
|
|
((2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(1.*^-8*(((9.*^-8*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)^2*(1 + 3*Cos[2*theta]) + 3*
|
||
|
|
((3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])) + 6*Sin[theta]^2*
|
||
|
|
(3.0000000000000004*^-8*((-6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^3 + (-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)^2*Cos[theta]^2 + 3.0000000000000004*^-8*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
||
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r^2)*Cos[theta]^2 +
|
||
|
|
7.500000000000001*^-9*((3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*(-2 +
|
||
|
|
3*Sin[theta]^2) + (((21*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (21*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^4 + (9*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (2*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/(4*
|
||
|
|
E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*(-1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4))*(-2 + 9.*^-16*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2))/2 - 2.5*^-9*(6*((3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])) - (3*((21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (21*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (9*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*
|
||
|
|
r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/2 +
|
||
|
|
9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)*
|
||
|
|
((-3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
||
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Cos[2*theta] +
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]) - 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2))/
|
||
|
|
(2*Sqrt[2]*r))/(Sqrt[2]*r))/2 +
|
||
|
|
((I*Csc[theta]*(((-1/2*I)*r*Sin[theta]*(1 - 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Sin[theta]^2))*
|
||
|
|
((-5.*^-9*(-9.000000000000001*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*r*
|
||
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
((3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4 +
|
||
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Sin[theta]^2)))/
|
||
|
|
(r*(7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)) -
|
||
|
|
(1.*^-8*(-((3.0000000000000004*^-8*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
((3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4 + 3*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Sin[theta]^2))) +
|
||
|
|
(-2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta]) + 1.5000000000000002*^-8*(168/(E^(r^2/4)*
|
||
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
((3*((-105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
||
|
|
(105*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(48*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (13*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(3*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)/4 + 3*((-15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^6 + (15*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (6*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(1 -
|
||
|
|
3*Sin[theta]^2))))/(-2 + 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)^2 +
|
||
|
|
(5.*^-9*(-9.000000000000001*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*r*
|
||
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2))/
|
||
|
|
(r*(7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5000000000000002*^-8*Cos[theta]*(-3.0000000000000004*^-8*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])))*(1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Cos[theta] -
|
||
|
|
Cot[theta]*Csc[theta] + 3*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-6.000000000000001*^-8*Cos[
|
||
|
|
theta] + 1.*^-8*Cot[theta]*Csc[theta])))/
|
||
|
|
(r*(7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2))))/
|
||
|
|
Sqrt[2] + ((I/2)*r*Sin[theta]*(1 - 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Sin[theta]^2))*
|
||
|
|
(-1/4*(-9.000000000000001*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*
|
||
|
|
r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))^2/
|
||
|
|
(r^2*(7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-3 +
|
||
|
|
Csc[theta]^2))^2) + (7.500000000000001*^-17*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])*((3*((21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4 +
|
||
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Sin[theta]^2)))/
|
||
|
|
(-2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
||
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
||
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(1.125*^-16*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)^2 - 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
||
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
||
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(7.500000000000001*^-9*r^2*
|
||
|
|
(5040/(E^(r^2/4)*r^5) - (630*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^6 + (297*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^5 - (87*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^4 + (19*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(4*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) - 16*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
32*r*((-5*r)/(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r) +
|
||
|
|
4*Csc[theta]^2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta])*
|
||
|
|
Csc[theta]^2 + 3.0000000000000004*^-8*r^2*(720/(E^(r^2/4)*
|
||
|
|
r^5) - (90*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
||
|
|
(39*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(-3 + Csc[theta]^2)) +
|
||
|
|
(2.25*^-16*r^2*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)^2 + 9.*^-16*r^2*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(-1 + 3*Cos[2*theta])*Csc[theta]^2 +
|
||
|
|
1.8*^-15*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 - 3*Cos[2*theta])^2*Csc[theta]^4 +
|
||
|
|
9.*^-16*r^2*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)^2*
|
||
|
|
(1 - 3*Cos[2*theta])^2*Csc[theta]^4 + 4*Csc[theta]^2*
|
||
|
|
(7.500000000000001*^-9*r^2*(5040/(E^(r^2/4)*r^5) -
|
||
|
|
(630*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
||
|
|
(297*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(87*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (19*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(4*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r) + 2*
|
||
|
|
Csc[theta]^2 + 3.0000000000000004*^-8*r^2*
|
||
|
|
(720/(E^(r^2/4)*r^5) - (90*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^6 + (39*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (9*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(-3 + Csc[theta]^2)) -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta])*
|
||
|
|
Csc[theta]^4*(8 + 3.0000000000000004*^-8*r^2*
|
||
|
|
(720/(E^(r^2/4)*r^5) - (90*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^6 + (39*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (9*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta]) + 1.5000000000000002*^-8*r^2*
|
||
|
|
(5040/(E^(r^2/4)*r^5) - (630*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^6 + (297*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (87*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(19*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (4*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r)*
|
||
|
|
Sin[theta]^2))/4)/(2*r^2*(7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))^2) +
|
||
|
|
(7.500000000000001*^-9*(4*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
||
|
|
1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])) +
|
||
|
|
6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.*^-8*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
||
|
|
Csc[theta]*(1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Cos[theta] -
|
||
|
|
Cot[theta]*Csc[theta] + 3*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-6.000000000000001*^-8*Cos[
|
||
|
|
theta] + 1.*^-8*Cot[theta]*Csc[theta]))*Sin[2*theta])/
|
||
|
|
(r^2*(7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(2.5*^-9*(-9.000000000000001*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*r*
|
||
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(1 + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2 +
|
||
|
|
9.*^-8*r*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(3*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta]) -
|
||
|
|
9*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
(r^2*(7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2))))/
|
||
|
|
Sqrt[2]))/(Sqrt[2]*r) -
|
||
|
|
((-3.0000000000000004*^-8*r*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Cos[theta]*Sin[theta]*
|
||
|
|
((-3.0000000000000004*^-16*Cos[theta]*Sin[theta]*
|
||
|
|
(-9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2)*
|
||
|
|
(-1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + 6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(1 + 1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)))/
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 +
|
||
|
|
(3.0000000000000004*^-16*Cos[theta]*Sin[theta]*
|
||
|
|
(-1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + 6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(1 + 1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2))*
|
||
|
|
((3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(2 + 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
||
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4)))/
|
||
|
|
((2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5000000000000002*^-8*Cos[theta]*(-3.0000000000000004*^-8*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])))*Sin[theta]*
|
||
|
|
(1.8*^-15*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + (1 + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(2 - 3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 6.000000000000001*^-8*(
|
||
|
|
-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Cos[2*theta] +
|
||
|
|
3.0000000000000004*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) + 6.000000000000001*^-8*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(Cos[2*theta] -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^4)))/
|
||
|
|
((-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5000000000000002*^-16*Cos[theta]*Sin[theta]*
|
||
|
|
(((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4))*
|
||
|
|
(-3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(1 + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2 +
|
||
|
|
9.*^-8*r*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(3*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta]) -
|
||
|
|
9*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
((2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(7.500000000000001*^-9*Sin[2*theta]*
|
||
|
|
(-8.*^-8*(9.*^-8*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + (168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] +
|
||
|
|
3*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
2.5*^-9*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-9.*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2) +
|
||
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
((168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1.*^-8 - 3.0000000000000004*^-8*Cos[2*theta]))/4) +
|
||
|
|
3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[2*theta])*
|
||
|
|
(-8 + 3.6*^-15*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 6.000000000000001*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(4 -
|
||
|
|
12*Cos[2*theta] - 3.0000000000000004*^-8*(168/(E^(r^2/4)*
|
||
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 1.8*^-15*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 -
|
||
|
|
(3.0000000000000004*^-8*Cos[theta]*Sin[theta]*
|
||
|
|
(-((((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) + 1.*^-8*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4))*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2)) - r*(((30*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^6 - (30*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 + (15*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 -
|
||
|
|
(5*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r^2)*(1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) -
|
||
|
|
1.*^-8*((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(
|
||
|
|
3*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4) + 1.*^-8*(240/(E^(r^2/4)*
|
||
|
|
r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(
|
||
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4) + 1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
3*((-15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3) -
|
||
|
|
(3*((-105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
||
|
|
(105*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(48*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (13*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(3*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4))*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.5000000000000002*^-8*(168/(E^(r^2/4)*
|
||
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) +
|
||
|
|
1.*^-8*r*(((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4))*((3*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*
|
||
|
|
r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
||
|
|
3*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-1 + 3*Cos[2*theta] -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]) + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
||
|
|
9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2) +
|
||
|
|
r^2*(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
((5.*^-9*(-9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2)*
|
||
|
|
(r*(2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.0000000000000004*^-8*(
|
||
|
|
24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
3*Sin[theta]^2)) + 1.35*^-15*r*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r^2*(9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(2 -
|
||
|
|
3*Sin[theta]^2)))*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(5.*^-9*((3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(2 + 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
||
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4))*
|
||
|
|
(r*(2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.0000000000000004*^-8*(
|
||
|
|
24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
3*Sin[theta]^2)) + 1.35*^-15*r*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r^2*(9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(2 -
|
||
|
|
3*Sin[theta]^2)))*(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(4.5*^-16*Cos[theta]^2*(-3.0000000000000004*^-8*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])))*Sin[theta]^2*(6.000000000000001*^-8*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] -
|
||
|
|
((168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/4 + (-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(2 - 6.000000000000001*^-8*(
|
||
|
|
24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)))/
|
||
|
|
(r*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(2.25*^-16*Cos[theta]*(4*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
||
|
|
1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])) +
|
||
|
|
6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.*^-8*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
||
|
|
Sin[theta]*(((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4))*
|
||
|
|
Sin[2*theta])/(r*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5000000000000002*^-8*(3.0000000000000004*^-8*
|
||
|
|
(9.*^-8*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] +
|
||
|
|
3*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
2.5*^-9*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-3.0000000000000004*^-8*(
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))*Sin[2*theta]^2 + Cos[theta]^2*
|
||
|
|
(-3.0000000000000004*^-8*((3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))*(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(168/(E^(r^2/4)*
|
||
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) -
|
||
|
|
(-3.0000000000000004*^-8*((3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) +
|
||
|
|
6.000000000000001*^-8*(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) - 3*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
(-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2))*Cos[theta]*Sin[theta]*
|
||
|
|
Sin[2*theta]*(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(168/(E^(r^2/4)*
|
||
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)))/
|
||
|
|
(r*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2) -
|
||
|
|
(2.5*^-9*(2*(9.000000000000001*^-8*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*((3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta]) + 3*((-15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^6 + (15*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (6*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])) + 6*Sin[theta]^2*(
|
||
|
|
3.0000000000000004*^-8*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((30*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^6 - (30*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 + (15*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 -
|
||
|
|
(5*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r^2)*Cos[theta]^2 + 7.500000000000001*^-9*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-2 +
|
||
|
|
3*Sin[theta]^2) + (((-105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^6 + (105*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (48*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(13*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (3*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*(-1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4))*(-2 + 9.*^-16*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(168/(E^(r^2/4)*
|
||
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(1 -
|
||
|
|
3*Sin[theta]^2 + 3.7500000000000005*^-9*(168/(E^(r^2/4)*
|
||
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) +
|
||
|
|
1.*^-8*((-3*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*
|
||
|
|
r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
||
|
|
3*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Cos[2*theta] +
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]) - 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)*
|
||
|
|
(-6*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(2 + 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])) + (3*((21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (21*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (9*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*
|
||
|
|
r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/2 -
|
||
|
|
9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2))/
|
||
|
|
(2*Sqrt[2]*r) -
|
||
|
|
(r^2*(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(-1/4*(r*(2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.35*^-15*r*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)^2/
|
||
|
|
(r^4*(9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Cos[theta]^2*Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*(1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))^2) + (7.500000000000001*^-17*
|
||
|
|
((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])*((3*((3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(2 + 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
||
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4)))/
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
||
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
||
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) +
|
||
|
|
(2.25*^-16*((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/
|
||
|
|
E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*
|
||
|
|
r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
(-3.0000000000000004*^-8*((3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])))*Sin[theta]^2)/
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
||
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
||
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) +
|
||
|
|
(2.25*^-16*Cos[theta]*(4*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
||
|
|
1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])) +
|
||
|
|
6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.*^-8*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
||
|
|
Sin[theta]*(-1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + 6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(1 + 1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2))*Sin[2*theta])/
|
||
|
|
(r^2*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(2.25*^-16*Cos[theta]*(4*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
||
|
|
1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])) +
|
||
|
|
6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.*^-8*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
||
|
|
Sin[theta]*(6.000000000000001*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] -
|
||
|
|
((168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/4 + (-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(2 - 6.000000000000001*^-8*(
|
||
|
|
24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2))*Sin[2*theta])/
|
||
|
|
(r^2*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(2.5*^-9*(r*(2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.0000000000000004*^-8*(
|
||
|
|
24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
3*Sin[theta]^2)) + 1.35*^-15*r*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)*
|
||
|
|
(-3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(1 + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2 +
|
||
|
|
9.*^-8*r*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(3*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta]) -
|
||
|
|
9*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
(r^3*(9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(2 -
|
||
|
|
3*Sin[theta]^2)))*(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(7.500000000000001*^-9*(-6.000000000000001*^-8*
|
||
|
|
(9.*^-8*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] +
|
||
|
|
3*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
2.5*^-9*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-4*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) +
|
||
|
|
1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) + (-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.0000000000000004*^-8*
|
||
|
|
r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])) - 6*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.*^-8*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
||
|
|
Sin[2*theta]^2 + 2*Cos[2*theta]*(4*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
||
|
|
1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.0000000000000004*^-8*
|
||
|
|
r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])) + 6*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.*^-8*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) +
|
||
|
|
6.000000000000001*^-8*(18*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) - 6*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2 + r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)))*Sin[2*theta]^2*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)))/
|
||
|
|
(r^2*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2) -
|
||
|
|
(-2*(9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(r*(2 - 6.000000000000001*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.35*^-15*r*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2) +
|
||
|
|
r*(9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-2 + 3*Sin[theta]^2)*
|
||
|
|
(2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.*^-8*r*(-9*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 3*r*
|
||
|
|
(720/(E^(r^2/4)*r^5) - (90*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^6 + (39*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (9*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3) +
|
||
|
|
(9*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4 + (3*r*(5040/(E^(r^2/4)*r^5) -
|
||
|
|
(630*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
||
|
|
(297*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(87*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (19*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(4*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
||
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 64*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
16*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/4)*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.35*^-15*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2 +
|
||
|
|
1.35*^-15*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2 +
|
||
|
|
1.35*^-15*r*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2) -
|
||
|
|
r*(r*(2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.35*^-15*r*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)*
|
||
|
|
(3.0000000000000004*^-8*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-2 + 3*Sin[theta]^2)*
|
||
|
|
(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(3*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4)*(1 + 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(2*r^3*(-9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 + (1 - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))^2)) - 3.0000000000000004*^-8*r*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*Cos[theta]*
|
||
|
|
Sin[theta]*((1.5000000000000002*^-16*r*
|
||
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/
|
||
|
|
E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*
|
||
|
|
r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]*Sin[theta]*
|
||
|
|
(-9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2))/
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
||
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
||
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) -
|
||
|
|
(2.25*^-16*r*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
Cos[theta]*(1 + 3*Cos[2*theta])*Sin[theta]*
|
||
|
|
(((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4)))/
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
||
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
||
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) +
|
||
|
|
(1.5000000000000002*^-8*Cos[theta]*Sin[theta]*
|
||
|
|
(-1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + 6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(1 + 1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2))*
|
||
|
|
(r*(2 - 6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.0000000000000004*^-8*(
|
||
|
|
24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
3*Sin[theta]^2)) + 1.35*^-15*r*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r^2*(9.*^-16*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (1 - 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(1 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(2 -
|
||
|
|
3*Sin[theta]^2)))*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(7.500000000000001*^-9*(4*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
||
|
|
1.8*^-7*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.0000000000000004*^-8*r*
|
||
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])) +
|
||
|
|
6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.*^-8*r*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
||
|
|
(1.8*^-15*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + (1 + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(2 - 3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*(
|
||
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) - 3.0000000000000004*^-8*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
||
|
|
r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 3.0000000000000004*^-8*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 6.000000000000001*^-8*(
|
||
|
|
-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Cos[2*theta] +
|
||
|
|
3.0000000000000004*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) + 6.000000000000001*^-8*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(Cos[2*theta] -
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^4))*
|
||
|
|
Sin[2*theta])/(r*(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(3.0000000000000004*^-8*Cos[theta]*Sin[theta]*
|
||
|
|
(((4.5000000000000006*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2 + 3*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(2 - 1.2000000000000002*^-7*
|
||
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) + 1.*^-8*r*
|
||
|
|
(240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2) + 1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(-2 +
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-9*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) -
|
||
|
|
(16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^3 - (3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4 + r*(3*(720/(E^(r^2/4)*r^5) -
|
||
|
|
(90*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
||
|
|
(39*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3) -
|
||
|
|
(3*(5040/(E^(r^2/4)*r^5) - (630*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^6 + (297*(16/E^(r^2/4) -
|
||
|
|
(16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (87*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^4 + (19*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (4*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*
|
||
|
|
r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 + (64/E^(r^2/4) -
|
||
|
|
(64*r^2)/E^(r^2/4) - 64*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 64*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
64*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2) - 16*r^2*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2) + 32*r*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 32*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/
|
||
|
|
4) + r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 8*r^2*(-1/8*
|
||
|
|
1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4)))*(-4 + 1.8*^-15*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 3.0000000000000004*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
1.5000000000000002*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 12*Cos[2*theta] - 3.0000000000000004*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 9.*^-16*
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2))/2 + 1.*^-8*(-1.8*^-7*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(1 +
|
||
|
|
1.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.0000000000000004*^-8*
|
||
|
|
r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5000000000000002*^-8*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-840/(E^(r^2/4)*r^4) +
|
||
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((80*r)/E^(r^2/4) -
|
||
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
8*r^2*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2))*
|
||
|
|
((3*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
||
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 8*r^2*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(2 + 3.0000000000000004*^-8*(24/(E^(r^2/4)*
|
||
|
|
r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
||
|
|
3*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-1 + 3*Cos[2*theta] -
|
||
|
|
6.000000000000001*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]) + 7.500000000000001*^-9*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
||
|
|
9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 +
|
||
|
|
(3.0000000000000004*^-8*Sin[2*theta]*
|
||
|
|
((3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + ((168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1.*^-8 -
|
||
|
|
3.0000000000000004*^-8*Cos[2*theta]))/4) +
|
||
|
|
6.000000000000001*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] +
|
||
|
|
6.000000000000001*^-8*r*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[2*theta] -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
Cos[2*theta]))*(-2 + 9.*^-16*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(168/(E^(r^2/4)*
|
||
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) +
|
||
|
|
1.*^-8*(9.*^-8*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + (168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] +
|
||
|
|
3*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
2.5*^-9*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 8*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-3*r*(-120/(E^(r^2/4)*r^4) +
|
||
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*(1 +
|
||
|
|
7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
|
||
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
9.*^-8*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Sin[2*theta]^2 + 9.*^-8*r*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(240/(E^(r^2/4)*r^4) -
|
||
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
|
||
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
||
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
||
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]) - 9*(-48/(E^(r^2/4)*r^3) +
|
||
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))))/
|
||
|
|
(r*(2 - 9.*^-16*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
||
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
||
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
||
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
||
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
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3.0000000000000004*^-8*(24/(E^(r^2/4)*r^3) -
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(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
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(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
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7.500000000000001*^-9*(168/(E^(r^2/4)*r^3) -
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(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
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(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
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(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
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(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
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(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
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r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
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|
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8*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
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|
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
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(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
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Sin[theta]^2) - 4.5*^-16*(-48/(E^(r^2/4)*r^3) +
|
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(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
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(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
||
|
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
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((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
||
|
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2)))/
|
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(2*Sqrt[2]*r))/(Sqrt[2]*r))/2
|