Riemann-Silberstein representation of the complete Maxwell equations set

Abstract

The complete set of Maxwell equations is represented by a single equation using Riemann-Silberstein complex vector of electromagnetic field. The consistent derivation of the Lorenz gauge condition is presented. We demonstrate that Fourier form of invariants $\mathbf{EB}$ and $E^2-B^2$ are proportional to dissipated power and equal to zero respectively.

arXiv comment3 pages,1 figure, CMD-EPS'20, S3Z203, Prague, July 19-23, (2004)