Complex form of classical and quantum electrodynamics

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

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 2016 → Mar 21 2016

Other

OtherInternational Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016
CountryUnited States
CityGainesville
Period3/17/16 → 3/21/16

Fingerprint

Energy-momentum Tensor
Balance Equations
Electrodynamics
Maxwell's equations
Conservation Laws
Electromagnetic Fields
Quantization
Differential equation
Invariant
Form

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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

Complex form of classical and quantum electrodynamics. / Kryuchkov, Sergey I.; Lanfear, Nathan A.; Suslov, Sergei.

Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016. Vol. 221 Springer New York LLC, 2017. p. 409-443.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kryuchkov, SI, Lanfear, NA & 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, Springer New York LLC, pp. 409-443, International Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016, Gainesville, United States, 3/17/16. https://doi.org/10.1007/978-3-319-68376-8_24
Kryuchkov SI, Lanfear NA, Suslov S. 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. Springer New York LLC. 2017. p. 409-443 https://doi.org/10.1007/978-3-319-68376-8_24
Kryuchkov, Sergey I. ; Lanfear, Nathan A. ; Suslov, Sergei. / Complex form of classical and quantum electrodynamics. Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016. Vol. 221 Springer New York LLC, 2017. pp. 409-443
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