Principles of Quantum Mechanics · Problem 19.10

Scattering Theory — R. Shankar

Physics — Quantum Mechanics · scattering-identical-particles

Problem

Two identical spin-0 bosons scatter off each other via a potential V(r)V(r). Show that the differential cross section is dσdΩ=∣f(θ)+f(π−θ)∣2\frac{d\sigma}{d\Omega} = |f(\theta) + f(\pi - \theta)|^2 where f(θ)f(\theta) is the scattering amplitude for distinguishable particles. If only ss-wave scattering is important, what is the ratio of the quantum cross section to the classical cross section?

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