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

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

Keywords

Dirac equation
method of noncommutative integration
separation of variables

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1007/s11182-017-1013-y

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

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.",

keywords = "Dirac equation, method of noncommutative integration, separation of variables",

author = "Breev, {A. I.} and Magazev, {A. A.}",

year = "2017",

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day = "7",

doi = "10.1007/s11182-017-1013-y",

language = "English",

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journal = "Russian Physics Journal",

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KW - method of noncommutative integration

KW - separation of variables

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