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

1. Oct 2, 2009

### Fwahnak

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

$$\nabla^2 \frac{1}{|r|} =\delta(r)$$

(probally up to some multipicative constant $$\frac{1}{2\pi}$$ 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. Oct 2, 2009

### Fwahnak

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