Vol 3 - Landau, Lifshitz - Quantum mechanics - non-relativistic theory (3ed., 1991) · Problem 38.4

Perturbation Theory

Physics — Landau & Lifshitz · spheroidal-well-energy-level-splitting

Problem

A spherical potential well with infinitely high walls is subjected to a small deformation (without change of volume) which gives it the form of a slightly prolate or oblate spheroid with semi-axes a=ba = b and cc. Find the splitting of the energy levels of a particle in the deformed well (A. B. Migdal 1959).

Related theory

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