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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 3, Pages 425–435
DOI: https://doi.org/10.4213/tmf6290
(Mi tmf6290)
 

This article is cited in 3 scientific papers (total in 3 papers)

Model Dirac–Maxwell equations with pseudounitary symmetry

N. G. Marchuk

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (463 kB) Citations (3)
References:
Abstract: We introduce a new system of equations called a model system of Dirac–Maxwell equations, reproducing the main properties of the standard system. At the same time, the model system of equations differs from the standard system in several ways; in particular, it is a tensor system and has a new symmetry with respect to the pseudounitary group. We also propose a version of the model system of Dirac–Maxwell equations with local (gauge) pseudounitary symmetry. We show that any spinor solution of the standard system of Dirac–Maxwell equations can be obtained from the corresponding tensor solution of the model system.
Keywords: Dirac equation, Maxwell equations, spinor, pseudounitary symmetry, gauge symmetry, spinorization.
Received: 10.04.2008
English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 3, Pages 1723–1732
DOI: https://doi.org/10.1007/s11232-008-0144-2
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. G. Marchuk, “Model Dirac–Maxwell equations with pseudounitary symmetry”, TMF, 157:3 (2008), 425–435; Theoret. and Math. Phys., 157:3 (2008), 1723–1732
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6290
  • https://doi.org/10.4213/tmf6290
  • https://www.mathnet.ru/eng/tmf/v157/i3/p425
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:762
    Full-text PDF :241
    References:75
    First page:15
     
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