Principles of Quantum Mechanics · Problem 19.16

Scattering Theory — R. Shankar

Physics — Quantum Mechanics · partial-wave-analysis

Problem

Show that for a real potential, the scattering amplitude satisfies the optical theorem. Then show that the partial wave cross sections satisfy the unitarity bound: σl≤4πk2(2l+1)\sigma_l \leq \frac{4\pi}{k^2}(2l+1) When is this bound saturated?

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