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Homework Help: A little question on the Helmoltz Greens Function

  1. Apr 12, 2016 #1
    1. The problem statement, all variables and given/known data
    I was a bit confused when reading my notes.After some derivation it states that G_h = e^(ikr)G_p,where
    G_h = Helmoltz Green's function
    G_p = Poisson Green's function = - 1 /(4πr)

    By definition (D^2)(G_p) = δ^3 (r)
    (D^2 = Laplacian)

    Please see the attached
    (D^2)(G_p) = 0 =/= δ^3 (r),Why?
    2. Relevant equations

    3. The attempt at a solution
    Included in the attached

    Attached Files:

  2. jcsd
  3. Apr 17, 2016 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
  4. Apr 18, 2016 #3


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    I didn't bother to check your work, but did you consider the fact that there's a singularity at r=0?
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