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Spherical harmonics

  1. Nov 19, 2007 #1
    1. The problem statement, all variables and given/known data

    Finding the potential.

    2. Relevant equations

    general solution of potential is in terms of spherical harmonics Y_l,m.

    3. The attempt at a solution

    My question is how do we know which l to choose given a boundry condition. for example if the potenial on the surface of a sphere of radius "a" = const*sin (theta) cos(theta). How do we know which l that corresonds to? or do we try all the l's and see which one works out?

  2. jcsd
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