Physics – Mathematical Physics
Scientific paper
2010-05-19
Physics
Mathematical Physics
8 pages
Scientific paper
There are constructed exact solutions of the quantum-mechanical Dirac equation for a spin S=1/2 particle in Riemannian space of constant negative curvature, hyperbolic Lobachevsky 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 Lobachevsky space geometry, has been obtained.
Kisel V. V.
Ovsiyuk E. M.
Red'kov Victor M.
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