QUANTUM MECHANICS OF A SPIN 1 PARTICLE WITH THE ANOMALOUS MAGNETIC MOMENT IN THE MAGNETIC FIELD
Abstract
The generalized Duffin–Kemmer equation for a spin 1 particle with the anomalous magnetic moment in the external uniform magnetic field is investigated. The separation of variables in the wave equation is performed on the basis of projective operator techniques. The problem is reduced to a system of differential equations for three independent functions that have been solved in terms of the confluent hypergeometric functions. Three series of the energy levels are found. To assign them the physical sense at all values of the main quantum number n = 0,1, 2, , special restrictions on anomalous magnetic moment values must be imposed – they are formulated in explicit form. Otherwise, only some part of the energy levels corresponds to the bound states. The neutral spin 1 particle is considered as well. In this case, no bound states exist in the systems. The main qualitative manifestation of the anomalous magnetic moment is the space scaling of the arguments of the wave functions in comparison with a particle without such a moment.
About the Authors
V. V. KISEL
Belarusian State University of Informatics and Radioelectronics
Belarus
Belarus
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, Yelsk region
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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