QUANTUM MECHANICS OF THE ELECTRON IN THE MAGNETIC FIELD, TAKING INTO ACCOUNT OF THE ANOMALOUS MAGNETIC MOMENT
Abstract
The Dirac equation for spin 1/2 particle with anomalous magnetic moment is solved in presence of the external uniform magnetic field. After separation of the variables, the problem is reduced to a 4-order ordinary differential equation, which is solved exactly with the use of the factorization method. A generalized formulas for Landau energy levels are found. Solutions are expressed in terms of confluent hypergeometric functions.
About the Authors
E. M. OVSIYUK
Mozyr State Pedagogical University named after I. P. Shamyakin
Belarus
Belarus
O. V. VEKO
Gymnasium, Kalinkovichi
Belarus
Belarus
Y. A. VOYNOVA
Secondary school, Kochischany
Belarus
Belarus
V. V. KISEL
Belarusian State University of Informatics and Radioelectronics
Belarus
Belarus
V. M. RED’KOV
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus
Belarus
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