On non-equivalence of Lorentz and Coulomb gauges within classical electrodynamics

Details On non-equivalence of Lorentz and Coulomb gauges within classical electrodynamics On non-equivalence of Lorentz and Coulomb gauges within classical electrodynamics

2001-11-06

arxiv.org/abs/physics/0111017v1

Physics

Classical Physics

18 pages, no figures, submitted to AFDB

Scientific paper

It is shown that the well-known procedure for proving the equivalence of the expressions for the electric field calculated using the Lorentz and Coulomb gauges is incorrect. The difference between the two gauges is due to the difference in the speed of propagation of a disturbance of the scalar potential. As an auxiliary result, it is proven that the solution for the electric field cannot be obtained directly from the Maxwell equations, i.e. without introducing the scalar and vector potentials.

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