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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 209, Pages 16–24
DOI: https://doi.org/10.36535/0233-6723-2022-209-16-24 (Mi into1000) 		 
On the construction of generalized powers for the Dirac equation of quantum electrodynamics

Yu. A. Gladyshev, E. A. Loshkareva

Tsiolkovsky Kaluga State University
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DOI: https://doi.org/10.36535/0233-6723-2022-209-16-24
Abstract: The paper is devoted to applications of the method of generalized powers for constructing a class of solutions of the Dirac equation in the case of a free particle. Possible generalizations of the method are indicated and examples are given.
Keywords: generalized power, Dirac equation, operator, quantum electrodynamics.
Document Type: Article
UDC: 517.958
MSC: 46S05, 47S05
Language: Russian
Citation: Yu. A. Gladyshev, E. A. Loshkareva, “On the construction of generalized powers for the Dirac equation of quantum electrodynamics”,  Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 209, VINITI, Moscow, 2022, 16–24
Citation in format AMSBIB
\Bibitem{GlaLos22}
\by Yu.~A.~Gladyshev, E.~A.~Loshkareva
\paper On the construction of generalized powers for the Dirac equation of quantum electrodynamics
\inbook  Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 209
\pages 16--24
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1000}
\crossref{https://doi.org/10.36535/0233-6723-2022-209-16-24}
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