Magnetic fields and Bohr’s quantization rule

W.‐D. Stein

R. L. Monaco, Waldyr A. Rodrigues

A S Tarnovskiĭ

Radu Purice, Viorel Iftimie, Marius Măntoiu

S. Olszewski

Electron orbits having a definite angular momentum in a static magnetic field are calculated with the aid of the Bohr–Sommerfeld quantization rules. The quantization gives that orbits are arranged along a straight line but the distance between the centers of two neighboring orbits decreases with increase of the absolute value of the angular momentum. With the energy correction equal to the zero-point energy of the harmonic oscillator, the distribution of orbits becomes identical to that obtained recently with the aid of a mixed semiclassical and quantum mechanical theory. © 1996 John Wiley & Sons, Inc.

MAXIM V. MOSTOVOY

A consistent method for obtaining the semiclassical multicomponent wave function for any value of adiabatic parameter is discussed and illustrated by examining the motion of a neutral particle in a nonuniform magnetic field. The method generalizes the Bohr-Sommerfeld quantization rule to multicomponent wave functions, and is applied here to the spin-boson model.