Complex form of classical and quantum electrodynamics

Sergey I. Kryuchkov, Nathan A. Lanfear, Sergei Suslov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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 the electromagnetic field will be discussed in this covariant approach elsewhere.

Original languageEnglish (US)
Title of host publicationAnalytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016
PublisherSpringer New York LLC
Pages409-443
Number of pages35
Volume221
ISBN (Print)9783319683751
DOIs
StatePublished - Jan 1 2017
EventInternational Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016 - Gainesville, United States
Duration: Mar 17 2016Mar 21 2016

Other

OtherInternational Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016
CountryUnited States
CityGainesville
Period3/17/163/21/16

Keywords

  • Cherenkov radiation
  • Complex electromagnetic fields
  • Energy-momentum balance equations
  • Macroscopic Maxwell’s equations

ASJC Scopus subject areas

  • Mathematics(all)

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    Kryuchkov, S. I., Lanfear, N. A., & Suslov, S. (2017). Complex form of classical and quantum electrodynamics. In Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016 (Vol. 221, pp. 409-443). Springer New York LLC. https://doi.org/10.1007/978-3-319-68376-8_24