NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2016, Vol.19, No.2, pp.153-165


Spin 1/2 Particle with Anomalous Magnetic Moment in a Uniform Magnetic Field
E. M. Ovsiyuk, V.V . Kisel, Ya. A. Voynovs, O. V. Veko, and V. M. Red’kov

We examine a generalized Dirac equation for a spin 1/2 particle with anomalous magnetic moment in presence of an external uniform magnetic field. After separation of variables, the problem is reduced to a fourth order ordinary differential equation, which is solved exactly with the use of the factorization method. Generalized formula for the Landau energy levels is derived. Solutions are expressed in terms of confluent hypergeometric functions. Restriction to the case of an uncharged spin 1/2 particle with anomalous magnetic moment is performed.

Key words: anomalous magnetic moment, quantum mechanics, spin 1/2 particle, Pauli interaction, magnetic field, exact solutions, Landau energy levels

Full text:  Acrobat PDF  (132KB)  



ContentsJournal Home Page

Copyright © Nonlinear Phenomena in Complex Systems. Last updated: July 20, 2016