Complex form of classical and quantum electrodynamics

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

doi:10.1007/978-3-319-68376-8_24

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 language	English (US)
Title of host publication	Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016
Editors	George E. Andrews, Frank Garvan
Publisher	Springer New York LLC
Pages	409-443
Number of pages	35
ISBN (Print)	9783319683751
DOIs	https://doi.org/10.1007/978-3-319-68376-8_24
State	Published - 2017
Event	International Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016 - Gainesville, United States Duration: Mar 17 2016 → Mar 21 2016

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	221
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Other

Other	International Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016
Country	United States
City	Gainesville
Period	3/17/16 → 3/21/16

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-3-319-68376-8_24

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Kryuchkov, S. I., Lanfear, N. A., & Suslov, S. (2017). Complex form of classical and quantum electrodynamics. In G. E. Andrews, & F. Garvan (Eds.), Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016 (pp. 409-443). (Springer Proceedings in Mathematics and Statistics; Vol. 221). 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. ed. / George E. Andrews; Frank Garvan. Springer New York LLC, 2017. p. 409-443 (Springer Proceedings in Mathematics and Statistics; Vol. 221).

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 GE Andrews & F Garvan (eds), Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016. Springer Proceedings in Mathematics and Statistics, 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 Andrews GE, Garvan F, editors, Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016. Springer New York LLC. 2017. p. 409-443. (Springer Proceedings in Mathematics and Statistics). 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. editor / George E. Andrews ; Frank Garvan. Springer New York LLC, 2017. pp. 409-443 (Springer Proceedings in Mathematics and Statistics).

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