The Dirac equation in an external electromagnetic field

Symmetry algebra and exact integration

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative integration. We have found a new type of solutions that are not obtained by separation of variables for several external electromagnetic fields. We have considered an example of crossed electric and magnetic fields of a special type for which the Dirac equation admits a nonlocal symmetry operator.

Original languageEnglish
Article number012015
JournalJournal of Physics: Conference Series
Volume670
Issue number1
DOIs
Publication statusPublished - 25 Jan 2016

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Dirac equation
electromagnetic fields
algebra
symmetry
operators
electric fields
magnetic fields

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative integration. We have found a new type of solutions that are not obtained by separation of variables for several external electromagnetic fields. We have considered an example of crossed electric and magnetic fields of a special type for which the Dirac equation admits a nonlocal symmetry operator.",
author = "Breev, {A. I.} and Shapovalov, {Aleksandr Vasilievich}",
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AB - Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative integration. We have found a new type of solutions that are not obtained by separation of variables for several external electromagnetic fields. We have considered an example of crossed electric and magnetic fields of a special type for which the Dirac equation admits a nonlocal symmetry operator.

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