Vol 3 - Landau, Lifshitz - Quantum mechanics - non-relativistic theory (3ed., 1991) · Problem 112.2

Nuclear Structure

Physics — Landau & Lifshitz · bound-state-electron-potential-well-magnetic-field

Problem

Find the lowest energy level corresponding to a bound state of an electron in a potential well

U(r)

of small depth (

|U| \ll \hbar^2/ma^2

, where

a

is the range of the forces in the well), with a uniform magnetic field superimposed (Yu. A. Bychkov 1960).