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Why does the following function equate to a delta in classical feild theory

  1. Oct 2, 2009 #1
    1. The problem statement, all variables and given/known data

    Can any one remember a decent argument/derivation for the following representation of the delta function.


    2. Relevant equations

    [tex]$ \nabla^2 \frac{1}{|r|} =\delta(r)$[/tex]

    (probally up to some multipicative constant [tex]$\frac{1}{2\pi}$[/tex] or something

    3. The attempt at a solution

    I know I've seen an agrument in jackson but I don't have a copy.
     
    Last edited: Oct 2, 2009
  2. jcsd
  3. Oct 2, 2009 #2
    I've no confidence that I've latexed that correctly and my work computer won't show me the symbols so heres the equation in equation again

    div(grad(1/|r|)) is proportional to deltafunction(r)
     
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