### 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) |
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Title of host publication | Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016 |

Publisher | Springer New York LLC |

Pages | 409-443 |

Number of pages | 35 |

Volume | 221 |

ISBN (Print) | 9783319683751 |

DOIs | |

State | Published - Jan 1 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 |

### Other

Other | International Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016 |
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Country | United States |

City | Gainesville |

Period | 3/17/16 → 3/21/16 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*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.

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

*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

}

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 -