Spherical harmonics & Mathematica

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  • Thread starter shetland
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  • #1
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I'm calculating the zz Component for the quadruple tensor.

[tex] Q_{zz} = 3cos^2\theta-1 [/tex](r=1 in this case), and the [tex] Y_{lm}(\theta,\phi) [/tex] would be l=2, m=0.

I would like to calculate the result in either maple or mathematica - I have not used either very much - I want to check the result using the wigner-eckhart theorem against this - and if anyone feels like offering input here as well, much appreciated.
 

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  • #2
Tide
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I don't know what your question is but, in the meantime, I think you intended to say quadrupole.
 
  • #3
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Tide said:
I don't know what your question is but, in the meantime, I think you intended to say quadrupole.
Yes, though even from mathworld it is spelled as I used: http://mathworld.wolfram.com/Quadruple.html

My question was lame, or showed off how ignorant I am - I am quite rusty - and realized how to do this in mathematica, and in addition sloughed through until I could use the wigner-eckhart theorem.

The integral was solved basically fiddling around with the spherical harmonic recursion relations (cosine * spherical harmonic).
 
  • #4
Tide
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Wolfram's "quadruple" refers to an entirely different concept.
 

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