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Note on the transformation from the Lorenz gauge to the Coulomb gauge

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arxiv 2405.16530 v4 pith:QT4V7D3C submitted 2024-05-26 physics.class-ph

V. Hnizdo , G. Vaman This is my paper · ORCID
classification physics.class-ph
keywords gaugetransformationcoulombformulafunctionlorenzalternativecharge
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There is a simple formula for the gauge function of the transformation from the Lorenz gauge to the Coulomb gauge, valid under a condition that is satisfied by some charge densities employed in the literature. An equation for the gauge function of this transformation that is alternative but equivalent to a formula of Jackson is derived also.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Novel distributional Laplacians and a Coulomb-gauge problem

    physics.class-ph 2025-08 conditional novelty 5.0 of 10

    New distributional Laplacian identities for arsinh[a(z-b)/s] and ln[a(z-b)+sqrt(s^2+a^2(z-b)^2)] are derived and applied to solve the Coulomb-gauge Poisson equation for a uniformly moving charge.

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

    physics.class-ph 2025-07 conditional novelty 3.0 of 10

    The vector potential in any gauge is expressed as the retarded potential plus a gradient built from the scalar potential, which reduces to the known gauge transformation from the Lorenz gauge.

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