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

A. I. Breev, A. A. Magazev

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Russian Physics Journal
DOIs	https://doi.org/10.1007/s11182-017-1013-y
Publication status	Accepted/In press - 7 Apr 2017

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Keywords

Dirac equation
method of noncommutative integration
separation of variables

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

Breev, A. I., & Magazev, A. A. (Accepted/In press). Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra. Russian Physics Journal, 1-11. https://doi.org/10.1007/s11182-017-1013-y

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Access to Document

10.1007/s11182-017-1013-y