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

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

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

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Published
2017-01-23
Keywords: gauge invariance, Lorenz and Coulomb gauge, retarded potentials, Liénard – Wiechert potentials
How to Cite
Furs, A. N. (2017). The electromagnetic field potentials of an arbitrary charge and current distribution in Coulomb gauge. Journal of the Belarusian State University. Physics, 1, 43-51. Retrieved from https://journals.bsu.by/index.php/physics/article/view/423
Section
Physics of Electromagnetic Phenomena