For the half space ($z > 0$) in three dimensions use the reduced Green function method to find the Neumann Green function. Make sure to calculate any integrals.
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The Neumann Green function satisfies the equation: ∇²G_N(x,x') = -δ(x-x') where ∇² is the Laplacian operator, G_N is the Neumann Green function, x and x' are points in three-dimensional space, and δ(x-x') is the Dirac delta function. Show more…
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