On one physical interpretation of generalized conditions Cauchy-Riemann

Abstract

The message shows that in variables, the generalized Cauchy-Riemann conditions (CRC) coincide with the Maxwell system for the electromagnetic field, and the possible existence of magnetic charges and currents is assumed. This makes it possible to give a physical interpretation to all 8 components of the solution of generalized СRС. When the generalized СRС is taken as a basis, two scalar fields necessarily appear. They are interpreted as some fields of spatially distributed electric and magnetic charges and currents. The introduction of the attached generalized СRC allows us to give a method for determining the potentials of the electromagnetic field under the assumptions made and to determine the gauge transformations more General than the well-known ones. Of course, having made certain restrictions, all the results coincide with those accepted in classical electrodynamics. The author points out that he does not make any physical statements and all constructions are purely mathematical in nature.