On exact solutions of the Dirac equation in a homogeneous magnetic field in the Riemann spherical space

E. M. Ovsiyuk, V. V. Kisel, V. M. Red'kov

Published 2010-05-20Version 1

There are constructed exact solutions of the quantum-mechanical Dirac equation for a spin S=1/2 particle in the space of constant positive curvature, spherical Riemann space, in presence of an external magnetic field, analogue of the homogeneous magnetic field in the Minkowski space. A generalized formula for energy levels, describing quantization of the motion of the particle in magnetic field on the background of the Riemann space geometry, is obtained.