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Construct the one-dimensional Green's function for the Helmholtz equation ((d^2)/(d x^2)+k^2) ψ(x)=g(x) . The boundary conditions are those for a wave advancing in the positive x direction - assuming a time dependence e^-i x. ANS. G(x1, x2)=(i)/(2 k)(i k|x1-x2|) .

Construct the one-dimensional Green's function for the Helmholtz equation ((d^2)/(d x^2)+k^2) ψ(x)=g(x) . The boundary conditions are those for a wave advancing in the

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