On exact solutions of the Dirac equation in a homogeneous magnetic field\n in the Lobachevsky space

2010/05/19 by Е. М. Ovsiyuk, Ovsiyuk, E. M., V. V. Kisel +3
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #J.2 Physical Sciences and Engineering #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.1005.3487

openalex publication_date 2010/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There are constructed exact solutions of the quantum-mechanical Dirac\nequation for a spin S=1/2 particle in Riemannian space of constant negative\ncurvature, hyperbolic Lobachevsky space, in presence of an external magnetic\nfield, analogue of the homogeneous magnetic field in the Minkowski space. A\ngeneralized formula for energy levels, describing quantization of the motion of\nthe particle in magnetic field on the background of the Lobachevsky space\ngeometry, has been obtained.\n

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