The Riemann-Silberstein vector in the Dirac algebra

• Shahen Hacyan ^[1]
  1. [1] Universidad Nacional Autónoma de México

     Universidad Nacional Autónoma de México

     México

     
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 65, Nº. 1, 2019, págs. 65-68
• Idioma: inglés
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• Resumen

  • It is shown that the Riemann-Silberstein vector, defined as E + iB, 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.