Vol 3 - Landau, Lifshitz - Quantum mechanics - non-relativistic theory (3ed., 1991) · Problem 133.4

Elastic Collisions

Physics — Landau & Lifshitz · integral-squared-wave-function-phase

Problem

Express the integral

\int_0^a \chi^2\,\mathrm{d}r

of the squared wave function of the

s

state in terms of the phase

\delta_0(E)

for a field

U(r)

that is zero outside a sphere of radius

a

(G. Lüders 1955).