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Matematicheskie Zametki, 2024, Volume 116, Issue 5, Pages 728–743
DOI: https://doi.org/10.4213/mzm14237 (Mi mzm14237) 		 
The problem of summability of the Pauli–Jordan–Dirac series in Minkowski space

E. A. Karatsuba

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/mzm14237
Abstract: The properties of the Pauli–Jordan–Dirac anticommutator of the quantum theory of the Dirac free electrons in a discrete representation in the spatially three-dimensional case are investigated. The conditions for the convergence of the Pauli–Jordan–Dirac series are established.
Keywords: Dirac quantum field theory, Pauli–Jordan–Dirac anticommutator, anticommutator zeros, Pauli–Jordan–Dirac series, summation, convergence conditions.
Funding agency Grant number
Russian Science Foundation 24-11-00372
This work was financially supported by the Russian Science Foundation, project 24-11-00372, https://rscf.ru/en/project/24-11-00372/.
Received: 11.06.2024
Revised: 06.07.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 5, Pages 987–999
DOI: https://doi.org/10.1134/S0001434624110117
Document Type: Article
UDC: 517, 517.521
PACS: 03.50
MSC: 40
Language: Russian
Citation: E. A. Karatsuba, “The problem of summability of the Pauli–Jordan–Dirac series in Minkowski space”, Mat. Zametki, 116:5 (2024), 728–743; Math. Notes, 116:5 (2024), 987–999
Citation in format AMSBIB
\Bibitem{Kar24}
\by E.~A.~Karatsuba
\paper The problem of summability of the Pauli--Jordan--Dirac series in Minkowski space
\jour Mat. Zametki
\yr 2024
\vol 116
\issue 5
\pages 728--743
\mathnet{http://mi.mathnet.ru/mzm14237}
\crossref{https://doi.org/10.4213/mzm14237}
\transl
\jour Math. Notes
\yr 2024
\vol 116
\issue 5
\pages 987--999
\crossref{https://doi.org/10.1134/S0001434624110117}
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