On radiation reaction and the Abraham-Lorentz-Dirac equation
General Relativity and Quantum Cosmology
2013-09-13 v1 Accelerator Physics
Abstract
It is underlined that the Lienard-Wiechert solutions indicate that after the external force is instantly removed from a small charged particle, the field in its close neighborhood becomes a Lorentz boosted Coulomb field. It suggests that the force of the self-field on the particle should instantaneously vanish after a sudden removal of the external force. A minimal modification of Abraham-Lorentz-Dirac equation is searched seeking to implement this property. A term assuring this behavior is added to the equation by maintaining Lorentz covariance and vanishing scalar product with the four-velocity. The simple Dirac constant force example does not show runaway acceleration.
Keywords
Cite
@article{arxiv.1304.2203,
title = {On radiation reaction and the Abraham-Lorentz-Dirac equation},
author = {Alejandro Cabo Montes de Oca and Jorge Castiñeiras},
journal= {arXiv preprint arXiv:1304.2203},
year = {2013}
}
Comments
6 pages, 1 figure