Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra


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Abstract

Noncommutative integration of the Dirac equation on Lie groups with a right-invariant metric and an invariant electromagnetic field tensor is considered. An electromagnetic field, admitting a noncommutative reduction of the Dirac equation, but not admitting either diagonalization of the squared Dirac equation or separation of variables, is found.

About the authors

A. I. Breev

National Research Tomsk State University; National Research Tomsk Polytechnic University

Author for correspondence.
Email: breev@mail.tsu.ru
Russian Federation, Tomsk; Tomsk

A. A. Magazev

Omsk State Technical University

Email: breev@mail.tsu.ru
Russian Federation, Omsk

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