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Spherical harmonic expansion for a function

  1. Oct 20, 2009 #1
    1. The problem statement, all variables and given/known data
    The spherical harmonic expansion for exp^ik(r-a)/(r-a), where the quantities in brackets are in absolute values and r and a are vectors , is well known and found in many text books.



    2. Relevant equations

    any hints on finding the spherical harmonic expansion for (r-a)^2 (exp^ik(r-a)/(r-a)),
    3. The attempt at a solution
     
    Last edited: Oct 20, 2009
  2. jcsd
  3. Oct 20, 2009 #2

    turin

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    Homework Helper

    Differentiation (w.r.t. k).

    BTW, doesn't one of the |r-a|'s out front cancel the |r-a| in the denominator?
     
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