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 languageEnglish
    Pages (from-to)1-11
    Number of pages11
    JournalRussian Physics Journal
    DOIs
    Publication statusAccepted/In press - 7 Apr 2017

    Fingerprint

    Dirac equation
    electromagnetic fields
    algebra
    symmetry
    tensors

    Keywords

    • Dirac equation
    • method of noncommutative integration
    • separation of variables

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra. / Breev, A. I.; Magazev, A. A.

    In: Russian Physics Journal, 07.04.2017, p. 1-11.

    Research output: Contribution to journal › Article

    Breev, AI & Magazev, AA 2017, 'Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra', Russian Physics Journal, pp. 1-11. https://doi.org/10.1007/s11182-017-1013-y
    Breev AI, Magazev AA. Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra. Russian Physics Journal. 2017 Apr 7;1-11. https://doi.org/10.1007/s11182-017-1013-y
    Breev, A. I. ; Magazev, A. A. / Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra. In: Russian Physics Journal. 2017 ; pp. 1-11.
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