Double (implicit and explicit) dependence of the electromagnetic field of an accelerated charge on time: Mathematical and physical analysis of the problem

Andrew E. Chubykalo; Stoyan J. Vlaev

doi:10.1142/s0217751x99001755

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Double (implicit and explicit) dependence of the electromagnetic field of an accelerated charge on time: Mathematical and physical analysis of the problem

Andrew E. Chubykalo·Stoyan J. Vlaev

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Abstract

We considered the electromagnetic field of a charge moving with a constant acceleration along an axis. We found that this field obtained from the Liénard-Wiechert potentials does not satisfy Maxwell equations if one considers exclusively a retarded interaction (i.e. pure implicit dependence this field on time). We show that if and only if one takes into account both retarded interaction and direct interaction (so called "action-at-a-distance") the field produced by an accelerated charge satisfies Maxwell equations.

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Andrew E. Chubykalo, Stoyan J. Vlaev. 1998-03-25. Double (implicit and explicit) dependence of the electromagnetic field of an accelerated charge on time: Mathematical and physical analysis of the problem. https://doi.org/10.1142/s0217751x99001755

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