MATRIX STRUCTURE OF THE MAXWELL EQUATIONS IN NONHOMOGENEOUS ANISOTROPIC MEDIA, AND RIEMANNIAN SPACE GEOMETRY

Abstract

In the present paper, we consider applications of the Majorana – Oppenheimer matrix complex formalism in Maxwell electrodynamics. First we detail this approach in the vacuum case, also we develop this technics in presence of any nonuniform and anisotropic media. After that we generalize this approach to Riemannian space-time, for the vacuum case and in presence of any media. We specify two simple examples: the non-uniform anisotropic media of special type, and the medium which is non-uniform along the axis z, both of them can be simulated completely by Riemannian geometry.