2018/11/12 by Shahen Hacyan, Hacyan, Shahen
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum optics and atomic interactions
paper · pdf · doi:10.48550/arxiv.1811.09684
openalex publication_date 2018/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that the Riemann-Silberstein vector, defined as \bf E + i\bf 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 erivatives is presented in terms of the Fock coefficients.