A little question on the Helmoltz Greens Function

  • Thread starter davon806
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  • #1
davon806
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Homework Statement


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?

Homework Equations




The Attempt at a Solution


Included in the attached
 

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Answers and Replies

  • #2
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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?
 
  • #3
vela
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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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