Spin 1/2 particle with anomalous magnetic moment and polarizabilityin the external magnetic field

Abstract

In the present paper, we examine the Dirac-like equation for a spin 1/2 particle with two additional characteristics, anomalous magnetic moment µ and polarizability σ in presence of external uniform magnetic field. After separating the variables, we derive the system of four differential equations in the polar coordinate. To resolve the system of equations, we apply the method by Fedorov – Gronskiy. According to this approach, four polar components are expressed through only two different functions, the last reduce to the confluent hypergeometric equation; at this there arises a definite quantization rule due to the presence of the uniform magnetic field. We have constructed two types of the wave functions, the corresponding energy spectra are found in analytical form.