Gauge Invariance in Classical Electrodynamics

Details Gauge Invariance in Classical Electrodynamics Gauge Invariance in Classical Electrodynamics

2005-10-09

arxiv.org/abs/physics/0510070v1

Physics

Classical Physics

22 pages, to be published in "Annales de la Fondation Louis de Broglie" volume 30-2

Scientific paper

The concept of gauge invariance in classical electrodynamics assumes tacitly that Maxwell's equations have unique solutions. By calculating the electromagnetic field of a moving particle both in Lorenz and in Coulomb gauge and directly from the field equations we obtain, however, contradicting solutions. We conclude that the tacit assumption of uniqueness is not justified. The reason for this failure is traced back to the inhomogeneous wave equations which connect the propagating fields and their sources at the same time.

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