The Dirac equation in an external electromagnetic field: Symmetry algebra and exact integration

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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
Issue number1
Publication statusPublished - 25 Jan 2016


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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