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Homework Help: Helmholtz' Theorem Proof

  1. Jan 23, 2008 #1
    Hi everyone, new to this site and was wondering if anyone could help me out...

    I am trying to prove the following equation to be true but don't really know where to start. Supposedly, I should be finding the Laplacian first using spherical coordinates.

    ∇^2(1/|R|) = -4*pi*δ(R)

    where |R|= |r-r'| and R = r-r'

    and δ(R) = δ(r-r') = δ(x-x')δ(y-y')δ(z-z')

    I realize this is a mess with how it looks, but wasn't sure how to convert mathematica text into the thread window.

    Thanks for any help!
  2. jcsd
  3. Jan 23, 2008 #2


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    Science Advisor
    Homework Helper

    Try using the divergence theorem. Can you show what you got so far?
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