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Expansion in spherical harmonics sin(theta)

  1. Dec 5, 2007 #1
    1. The problem statement, all variables and given/known data

    I want to expand sin(theta) in spherical harmonics.
    Well, actually I want
    but I think I could find my mistake by the above simple example.

    2. Relevant equations


    3. The attempt at a solution

    I seem to get zero for all coefficients by the integrals from wikipedia.
    Can I not expand along an arbitrary axis?
  2. jcsd
  3. Dec 5, 2007 #2
    The coefficients are not all zero. For instance, the first coefficient is proportional to:

    [tex]f_{0}^0 \alpha \int^{2\pi}_{0}d\phi\int^{\pi}_{0}d\theta sin^{2}(\theta)=\pi^2[/tex]
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