Helmholtz' Theorem Proof

  • Thread starter parksy7
  • Start date
  • #1
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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!
 

Answers and Replies

  • #2
Galileo
Science Advisor
Homework Helper
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Try using the divergence theorem. Can you show what you got so far?
 

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