Integration of the Dirac equation on Lie groups in an external electromagnetic field admitting a noncommutative symmetry algebra

DOI10.1007/S11182-017-1013-YzbMath1398.58013OpenAlexW2604150243WikidataQ115381244 ScholiaQ115381244MaRDI QIDQ1797520

A. I. Breev, Alexey A. Magazev

Publication date: 22 October 2018

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-017-1013-y

zbMATH Keywords

Dirac equationseparation of variablesmethod of noncommutative integration

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie groups (22E99) Time-dependent Schrödinger equations and Dirac equations (35Q41) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (2)

Noncommutative integration of the Klein-Gordon equation in electromagnetic fields admitting functional arbitrariness ⋮ On the internal geometry of trajectories of charged particles in symmetric external fields

Cites Work

• Unnamed Item
• Polarization of a spinor field vacuum on manifolds of the Lie groups
• Noncommutative integration of linear differential equations
• Algebra of symmetry operators and integration of the Klein-Gordon equation in an external electromagnetic field

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