dorsal/arxiv
View SchemaDouble (implicit and explicit) dependence of the electromagnetic field of an accelerated charge on time: Mathematical and physical analysis of the problem
| Authors | Andrew E. Chubykalo, Stoyan J. Vlaev |
|---|---|
| Categories | |
| ArXiv ID | physics/9803037 |
| URL | https://arxiv.org/abs/physics/9803037 |
| DOI | 10.1142/S0217751X99001755 |
| Journal | Int.J.Mod.Phys. A14 (1999) 3789-3798 |
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 Li\'enard-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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"abstract": "We considered the electromagnetic field of a charge moving with a constant\nacceleration along an axis. We found that this field obtained from the\nLi\\\u0027enard-Wiechert potentials does not satisfy Maxwell equations if one\nconsiders exclusively a retarded interaction (i.e. pure implicit dependence\nthis field on time). We show that if and only if one takes into account both\nretarded interaction and direct interaction (so called \"action-at-a-distance\")\nthe field produced by an accelerated charge satisfies Maxwell equations.",
"arxiv_id": "physics/9803037",
"authors": [
"Andrew E. Chubykalo",
"Stoyan J. Vlaev"
],
"categories": [
"physics.class-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1142/S0217751X99001755",
"journal_ref": "Int.J.Mod.Phys. A14 (1999) 3789-3798",
"title": "Double (implicit and explicit) dependence of the electromagnetic field of an accelerated charge on time: Mathematical and physical analysis of the problem",
"url": "https://arxiv.org/abs/physics/9803037"
},
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