G(x, x')+kG(x, a') = 8(x – x') -- Dx²
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For 1 dimensional scattering with potential V (x), it is also possible to write the solution in the form of: (see image 1).
where G(x, x') is a Green's function satisfying: (see image 2).
Question: Find the analytical form of the Green's function and then use it to derive the expression for 1D Born's approximation.
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