Vol 3 - Landau, Lifshitz - Quantum mechanics - non-relativistic theory (3ed., 1991) · Problem 33.2

Motion in a Centrally Symmetric Field

Physics — Landau & Lifshitz · energy-levels-deep-spherical-well

Problem

Determine the order of the energy levels with various values of the angular momentum

l

in a very deep spherical potential well (

U_0 \gg \hbar^2/ma^2

) (W. Elsasser 1933).