English

The Coulomb static gauge

Classical Physics 2008-12-25 v1

Abstract

The existence of gauge conditions involving second-order derivatives of potentials is not well known in classical electrodynamics. We introduce one of these gauges, the Coulomb static gauge, in which the scalar potential is given by the Coulomb static potential. We obtain an explicit expression for the associated vector potential and show how the scalar and vector potentials in this gauge yield the retarded electric and magnetic fields. We note the close relation between the proposed gauge and the temporal gauge.

Keywords

Cite

@article{arxiv.0812.4478,
  title  = {The Coulomb static gauge},
  author = {Jose A. Heras},
  journal= {arXiv preprint arXiv:0812.4478},
  year   = {2008}
}

Comments

9 pages

R2 v1 2026-06-21T11:55:29.019Z