Quantum Physics III Chapter 7: Scattering
7.2.1 Calculating the scattering amplitude in terms of phase shifts Recall 1D case ’(x) = sin(kx) = 1 2i eikx eikx |{z} ingoing solution if V = 0 (7.2.12) Exact solution (x) = 1 2i eikxe2i k eikx |{z} same ingoing wave for x>a (7.2.13) where the outgoing wave can only di er from the ingoing one by a phase, so that probability is conserved ... ................
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