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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 206, Pages 35–41
DOI: https://doi.org/10.36535/0233-6723-2022-206-35-41
(Mi into963)
 

The law of conservation of electric charge and the physical interpretation of the generalized Cauchy–Riemann system

Yu. A. Gladyshev, E. A. Loshkareva

Tsiolkovsky Kaluga State University
References:
Abstract: In this paper, we continue the study of generalizations of the Cauchy–Riemann (CR) conditions obtained earlier, which, under certain assumptions, can be interpreted as Maxwell's equations of electromagnetic field. The main mathematical tools used in the work is the technique of two quaternion variables. This work does not contain any physical statements, but is a theoretical analysis that can be carried out for systems of generalized CR conditions.
Keywords: quaternion, spinor, Cauchy–Riemann system, Laplace equation, Maxwell system, law of conservation of electric charge.
Document Type: Article
UDC: 511.84
MSC: 46S05, 47S05
Language: Russian
Citation: Yu. A. Gladyshev, E. A. Loshkareva, “The law of conservation of electric charge and the physical interpretation of the generalized Cauchy–Riemann system”, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 206, VINITI, Moscow, 2022, 35–41
Citation in format AMSBIB
\Bibitem{GlaLos22}
\by Yu.~A.~Gladyshev, E.~A.~Loshkareva
\paper The law of conservation of electric charge and the physical interpretation of the generalized Cauchy--Riemann system
\inbook Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 206
\pages 35--41
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into963}
\crossref{https://doi.org/10.36535/0233-6723-2022-206-35-41}
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