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

2010/05/20 by Ovsiyuk, E. M., Kisel, V. V., Red'kov, V. M.
#35 #FOS: Physical sciences #G.1.8 #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1005.3621

Abstract

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.

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