Geodesic
The law of conservation of electric charge and the physical interpretation of the generalized Cauchy--Riemann system
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 35-41.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Mots-clés : quaternion, Laplace equation
Keywords: spinor, Cauchy–Riemann system, Maxwell system, law of conservation of electric charge. 
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Yu. A. Gladyshev; E. A. Loshkareva. The law of conservation of electric charge and the physical interpretation of the generalized Cauchy--Riemann system. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 35-41. http://geodesic.mathdoc.fr/item/INTO_2022_206_a3/

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