English

On a Connection between the Maxwell System, the Extended Maxwell System, the Dirac Operator and Gravito-Electromagnetism

Mathematical Physics 2014-06-12 v1 Analysis of PDEs math.MP

Abstract

Maxwell's equation, Dirac's equation and the equation of gravito-electromagnetism are shown to be particular instances of the extended Maxwell system. The equations are discussed in the framework of the theory of evolutionary equations. Their formal relationship are systematically analyzed. Applications to coupled systems such as the Maxwell-Dirac system are also discussed.

Keywords

Cite

@article{arxiv.1406.2915,
  title  = {On a Connection between the Maxwell System, the Extended Maxwell System, the Dirac Operator and Gravito-Electromagnetism},
  author = {Rainer Picard and Sascha Trostorff and Marcus Waurick},
  journal= {arXiv preprint arXiv:1406.2915},
  year   = {2014}
}

Comments

33 pages

R2 v1 2026-06-22T04:36:06.173Z