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

Chubykalo, Andrew E.; Vlaev, Stoyan J.

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

Chubykalo, Andrew E. ; Vlaev, Stoyan J.

arXiv, 9803037 / Harvested from arXiv

Text on arXiv

Résumé

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.

Publié le : 1998-03-25
Classification: Physics - Classical Physics, High Energy Physics - Theory, Mathematical Physics

@article{9803037,
     author = {Chubykalo, Andrew E. and Vlaev, Stoyan J.},
     title = {Double (implicit and explicit) dependence of the electromagnetic field
  of an accelerated charge on time: Mathematical and physical analysis of the
  problem},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9803037}
}

Chubykalo, Andrew E.; Vlaev, Stoyan J. Double (implicit and explicit) dependence of the electromagnetic field
  of an accelerated charge on time: Mathematical and physical analysis of the
  problem. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9803037/