The electromagnetic field potentials of an arbitrary charge and current distribution in Coulomb gauge

Authors

  • Alexander N. Furs Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

Keywords:

gauge invariance, Lorenz and Coulomb gauge, retarded potentials, Liénard – Wiechert potentials

Abstract

The field potentials of an arbitrary charge and current distribution are calculated in Coulomb gauge. It is shown that the vector potential is determined by not only the current density values at the retarded time but also prehistory of the charge density variation over the interval from the retarded time to the current time. Various representations of the Liénard – Wiechert potentials are obtained in Coulomb gauge. They are applied to the case of a uniform rectilinear moving point charge.

Author Biography

  • Alexander N. Furs, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

    doctor of science (physics and mathematics), docent; professor at the department of theoretical physics and astrophysics, faculty of physics

References

  1. Landau L. D., Lifshits E. M. Teoriya polya. Mosc., 1973 (in Russ.).
  2. Dzhekson Dzh. Klassicheskaya elektrodinamika. Mosc., 1965 (in Russ.).
  3. Bredov M. M., Rumyantsev V. V., Toptygin I. N. Klassicheskaya elektrodinamika. Mosc., 1985 (in Russ.).
  4. Gaitler V. Kvantovaya teoriya izlucheniya. Mosc., 1956 (in Russ.).
  5. Ginzburg V. L. Teoreticheskaya fizika i astrofizika. Dopolnitelʼnye glavy. Mosc., 1980 (in Russ.).
  6. Wundt B. J., Jentschura U. D. Sources, potentials and fields in Lorenz and Coulomb gauge: Cancellation of instantaneous interactions for moving point charges. Ann. Phys. 2012. Vol. 327, No. 4. P. 1217–1230.
  7. Akhiezer A. I., Berestetskii V. B. Kvantovaya elektrodinamika. Mosc., 1969 (in Russ.).

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Published

2017-01-23

Issue

No. 1 (2017): Journal of the Belarusian State University. Physics

Section

Physics of Electromagnetic Phenomena

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How to Cite

(1)
Furs, A. N. The Electromagnetic Field Potentials of an Arbitrary Charge and Current Distribution in Coulomb Gauge. Журнал Белорусского государственного университета. Физика 2017, No. 1, 43-51.