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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 220, Number 3, Pages 436–447
DOI: https://doi.org/10.4213/tmf10724 (Mi tmf10724) 		 
Method for estimating the number of zeros of the spatially one-dimensional Pauli–Jordan–Dirac function on spatial intervals using the Kronecker theorem

E. A. Karatsuba

Federal Research Center "Informatics and Control" of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10724
Abstract: We investigate the properties of the Pauli–Jordan–Dirac anticommutator of the quantum field theory of free Dirac electrons in a discrete representation in the spatially one-dimensional case and present a method for estimating the number of zeros of the anticommutator on spatial intervals using the Kronecker theorem.
Keywords: Dirac quantum field theory, Pauli–Jordan–Dirac anticommutator, anticommutator zeros, Kronecker theorem.
Funding agency Grant number
Russian Science Foundation 24-11-00372
This work was supported by the Russian Science Foundation under grant No. 24-11-00372, https://rscf.ru/en/project/24-11-00372/.
Received: 09.05.2024
Revised: 28.05.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 220, Issue 3, Pages 1429–1439
DOI: https://doi.org/10.1134/S0040577924090022
Document Type: Article
PACS: 03.50.−z
MSC: 81Q05
Language: Russian
Citation: E. A. Karatsuba, “Method for estimating the number of zeros of the spatially one-dimensional Pauli–Jordan–Dirac function on spatial intervals using the Kronecker theorem”, TMF, 220:3 (2024), 436–447; Theoret. and Math. Phys., 220:3 (2024), 1429–1439
Citation in format AMSBIB
\Bibitem{Kar24}
\by E.~A.~Karatsuba
\paper Method for estimating the~number of zeros of the~spatially one-dimensional Pauli--Jordan--Dirac function on spatial intervals using the~Kronecker theorem
\jour TMF
\yr 2024
\vol 220
\issue 3
\pages 436--447
\mathnet{http://mi.mathnet.ru/tmf10724}
\crossref{https://doi.org/10.4213/tmf10724}
\transl
\jour Theoret. and Math. Phys.
\yr 2024
\vol 220
\issue 3
\pages 1429--1439
\crossref{https://doi.org/10.1134/S0040577924090022}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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