Direct, analytic solution for the electromagnetic vector potential in any gauge
Classical Physics
2025-07-04 v1
Abstract
We derive an analytic solution for the electromagnetic vector potential in any gauge directly from Maxwell's equations for potentials for an arbitrary time-dependent charge-current distribution. No gauge condition is used in the derivation. Our solution for the vector potential has a gauge-invariant part and a gauge-dependent part. The gauge-dependent part is related to the scalar potential.
Keywords
Cite
@article{arxiv.2507.02104,
title = {Direct, analytic solution for the electromagnetic vector potential in any gauge},
author = {Kuo-Ho Yang and Robert D. Nevels},
journal= {arXiv preprint arXiv:2507.02104},
year = {2025}
}
Comments
11 pages, no figures