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Homework Help: Spherical Harmonics

  1. Aug 23, 2004 #1

    I´m calculating cuadratic dispersion of some quantum systems. I need to expand x^2 in terms of spherical harmonics (using Clebsch-Gordan coefficients, or threeJ as well) in order to be able to use Gaunt espression in the integral solving.

    I start from the expansion of x as linnear combination of Spherical Harmonics (with Clebsch-Gordan coef.). Then, in order to get x^2, I calculate x*x (studying the couplings of the state vectors term by term) and I get what I need: a sum of Spherical Harmonics (each multiplied by a C-G coef.) but it´s not the correct one!

    Could anyone help me? Thanks
  2. jcsd
  3. Aug 24, 2004 #2
    wow K-12 got really hard really fast!
    sorry, maybe a different forum should be addressed
  4. Aug 25, 2004 #3
    oops! Excuse me.
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