The Riemann-Silberstein vector in the Dirac algebra
General Physics
2018-11-27 v1
Abstract
It is shown that the Riemann-Silberstein vector, defined as , appears naturally in the algebraic representation of the electromagnetic field. Accordingly, a compact form of the Maxwell equations is obtained in terms of Dirac matrices, in combination with the null-tetrad formulation of general relativity. The formalism is fully covariant; an explicit form of the covariant erivatives is presented in terms of the Fock coefficients.
Keywords
Cite
@article{arxiv.1811.09684,
title = {The Riemann-Silberstein vector in the Dirac algebra},
author = {Shahen Hacyan},
journal= {arXiv preprint arXiv:1811.09684},
year = {2018}
}