English

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