Vol 3 - Landau, Lifshitz - Quantum mechanics - non-relativistic theory (3ed., 1991) · Problem 49.1

The Quasi-Classical Case

Physics — Landau & Lifshitz · quasi-classical-wave-function-singular-field

Problem

Determine the behaviour of the wave function near the origin, if the field becomes infinite as

\pm \alpha/r^s

, with

s > 2

, when

r \to 0