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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 191, Number 3, Pages 417–423
DOI: https://doi.org/10.4213/tmf9249 (Mi tmf9249) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Four-momentum of the field of a point charge in nonlinear electrodynamics

M. B. Ependiev

Mechanical Engineering Research Institute of the Russian Academy of Sciences (IMASH RAN), Moscow, Russia
Full-text PDF (321 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf9249
Abstract: We prove that the four-momentum of the electromagnetic field of a point charge is a four-vector if the field Lagrangian is nonlinear (with respect to field invariants) and the field mass is finite. We define the class of Lagrangians leading to a bound on the field mass.
Keywords: nonlinear electrodynamics, point charge, field mass, field four-momentum.
Received: 23.06.2016
Revised: 13.09.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 191, Issue 3, Pages 836–841
DOI: https://doi.org/10.1134/S0040577917060046
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. B. Ependiev, “Four-momentum of the field of a point charge in nonlinear electrodynamics”, TMF, 191:3 (2017), 417–423; Theoret. and Math. Phys., 191:3 (2017), 836–841
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9249
  • https://doi.org/10.4213/tmf9249
  • https://www.mathnet.ru/eng/tmf/v191/i3/p417
    • This publication is cited in the following 5 articles:
    1. A. I. Breev, A. E. Shabad, “Interaction between two point-like charges in nonlinear electrostatics”, Eur. Phys. J. C, 78:1 (2018)  crossref  isi  scopus
    2. F. Briscese, “Collective behavior of light in vacuum”, Phys. Rev. A, 97:3 (2018), 033803  crossref  isi  scopus
    3. Yu. Krynytskyi, “Four-momentum and angular four-momentum of the electromagnetic field of a system of relativistic charged particles in a weak interaction approximation”, J. Phys. Stud., 22:2 (2018), 2001  crossref  isi  scopus
    4. Adorno T.C., Gitman D.M., Shabad A.E., Shishmarev A. A., “Quantum Electromagnetic Nonlinearity Affecting Charges and Dipole Moments”, Russ. Phys. J., 59:11 (2017), 1775–1787  crossref  zmath  isi  scopus
    5. Gitman D.M., Shabad A.E., Shishmarev A.A., “Particle-Like Representation For the Field of a Moving Point Charge in Nonlinear Electrodynamics”, Phys. Scr., 92:5 (2017), 054005  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :142
    References:62
    First page:17
     
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