Abstract

HACYAN, Shahen. The Riemann-Silberstein vector in the Dirac algebra. Rev. mex. fis. [online]. 2019, vol.65, n.1, pp.65-68.  Epub Nov 09, 2019. ISSN 0035-001X.

It is shown that the Riemann-Silberstein vector, defined as E + i B, appears naturally in the SL(2,C) 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 derivatives is presented in terms of the Fock coefficients.

Keywords : Maxwell equations; Dirac matrices algebra; 03.50 De.

        · text in English     · English ( pdf )