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

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 proceedingConference 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
@inproceedings{50c3d96a288441ddb9e4cd5311da56e2,
title = "Complex form of classical and quantum electrodynamics",
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.",
keywords = "Cherenkov radiation, Complex electromagnetic fields, Energy-momentum balance equations, Macroscopic Maxwell’s equations",
author = "Kryuchkov, {Sergey I.} and Lanfear, {Nathan A.} and Sergei Suslov",
year = "2017",
month = "1",
day = "1",
doi = "10.1007/978-3-319-68376-8_24",
language = "English (US)",
isbn = "9783319683751",
volume = "221",
pages = "409--443",
booktitle = "Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016",
publisher = "Springer New York LLC",

}

TY - GEN

T1 - Complex form of classical and quantum electrodynamics

AU - Kryuchkov, Sergey I.

AU - Lanfear, Nathan A.

AU - Suslov, Sergei

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Cherenkov radiation

KW - Complex electromagnetic fields

KW - Energy-momentum balance equations

KW - Macroscopic Maxwell’s equations

UR - http://www.scopus.com/inward/record.url?scp=85042129179&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85042129179&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-68376-8_24

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

M3 - Conference contribution

AN - SCOPUS:85042129179

SN - 9783319683751

VL - 221

SP - 409

EP - 443

BT - Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016

PB - Springer New York LLC

ER -