For 1 dimensional scattering with potential V(2), it is also possible to write the solution in the form of 2m 8+(x) = Aeikt + 2 where G(x,x') is a Green's function satisfying Pet ' | dx'G(x,z)U(z)(4+ (z) 22 x2G(x, x') + kG(x,x) = 8(x x'). 1. Find the Green's function, for both r > r' and x r' and x