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Mat. Zametki, 2024 Volume 116, Issue 5, Pages 728–743 (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

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.

UDC: 517, 517.521

PACS: 03.50

MSC: 40

Received: 11.06.2024
Revised: 06.07.2024

DOI: 10.4213/mzm14237


 English version:
Mathematical Notes, 2024, 116:5, 987–999

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© Steklov Math. Inst. of RAS, 2025