Noncommutative integrability of the Klein-Gordon and Dirac equations in \((2+1)\)-dimensional spacetime

DOI10.1007/s11182-017-1001-2zbMath1385.81016OpenAlexW2592325683MaRDI QIDQ1706220

A. I. Breev, Alexander Shapovalov

Publication date: 21 March 2018

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

Full work available at URL: https://doi.org/10.1007/s11182-017-1001-2

zbMATH Keywords

Klein-Gordon equationDirac equationnoncommutative integration\((2+1)\)-dimensional Minkowski space

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (1)

Algebras of symmetry operators of the Klein-Gordon-Fock equation for groups acting transitively on two-dimensional subspaces of a space-time manifold

Cites Work

• Noncommutative integration of linear differential equations
• Algebra of symmetry operators and integration of the Klein-Gordon equation in an external electromagnetic field
• Significance of Electromagnetic Potentials in the Quantum Theory

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