Complex Form of Classical and Quantum Electrodynamics

@article{Kryuchkov2016ComplexFO,
  title={Complex Form of Classical and Quantum Electrodynamics},
  author={Sergey I. Kryuchkov and Nathan A. Lanfear and Sergei K. Suslov},
  journal={arXiv: Mathematical Physics},
  year={2016}
}
We consider a complex covariant form of the macroscopic Maxwell equations, in a moving medium or at rest, following the original ideas of Minkowski. A compact, Lorentz invariant, derivation of the energy-momentum tensor and the corresponding differential balance equations are given. Conservation laws and quantization of electromagnetic field will be discussed in this covariant approach elsewhere. 

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