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**1. The problem statement, all variables and given/known data**

Arfken & Weber 9.7.2 - Show that

[itex]\frac{exp(ik|r_{1}-r_{2}|)}{4\pi |r_{1}-r_{2}|}[/itex]

satisfies the two appropriate criteria and therefore is a Green's function for the Helmholtz Equation.

**2. Relevant equations**

The Helmholtz operator is given by

[itex]\nabla ^{2}A+k^{2}A[/itex]

Symmetricity of Green's functions.

**3. The attempt at a solution**

Right off the bat I am not sure what is mean't by "the two appropriate criteria" phrase. What exactly are the two appropriate criteria that they ask for in Arfken & Weber problem 9.7.2? Where can I find this criteria so that I know how to answer this question?