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arXiv · 2507.02104

Direct, analytic solution for the electromagnetic vector potential in any gauge

Kuo-Ho Yang·Robert D. Nevels
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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.

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Kuo-Ho Yang, Robert D. Nevels. 2025-07-02. Direct, analytic solution for the electromagnetic vector potential in any gauge. https://arxiv.org/abs/2507.02104

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