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Spherical harmonics & Mathematica

  1. Nov 21, 2005 #1
    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.
  2. jcsd
  3. Nov 22, 2005 #2


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    I don't know what your question is but, in the meantime, I think you intended to say quadrupole.
  4. Nov 26, 2005 #3
    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).
  5. Nov 26, 2005 #4


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    Wolfram's "quadruple" refers to an entirely different concept.
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