How potentials in different gauges yield the same retarded electric and magnetic fields

dc.creatorHeras, Jose A.
dc.date2007-02-24
dc.date.accessioned2026-07-07T07:48:55Z
dc.date.available2026-07-07T07:48:55Z
dc.descriptionThis paper presents a simple and systematic method to show how the potentials in the Lorentz, Coulomb, Kirchhoff, velocity and temporal gauges yield the same retarded electric and magnetic fields. The method appropriately uses the dynamical equations for the scalar and vector potentials to obtain two wave equations, whose retarded solutions lead to the electric and magnetic fields. The advantage of this method is that it does not use explicit expressions for the potentials in the above gauges, which are generally simple to obtain for the scalar potential but generally difficult to calculate for the vector potential. The spurious character of the term generated by the scalar potential in the Coulomb, Kirchhoff and velocity gauges is noted. The non spurious character of the term generated by the scalar potential in the Lorenz gauge is emphasized.
dc.identifierhttps://arxiv.org/abs/physics/0702217
dc.identifierhttp://arxiv.org/abs/physics/0702217
dc.identifierAm. J. Phys. 75, 176-183 (2007)
dc.identifierdoi:10.1119/1.2400238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124666
dc.subjectClassical Physics
dc.titleHow potentials in different gauges yield the same retarded electric and magnetic fields
dc.typetext

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