Vol 3 - Landau, Lifshitz - Quantum mechanics - non-relativistic theory (3ed., 1991) · Problem Problem (§123)

Elastic Collisions

Physics — Landau & Lifshitz · two-dimensional-scattering-amplitude

Problem

Express the scattering amplitude in terms of the phase shifts in the two-dimensional case. The field

U = U(\rho)

\rho = \sqrt{(x^2 + z^2)}

. The particle flux is in the

z

-direction.