On the Solutions of the Lorentz-Dirac Equation
Classical Physics
2015-06-26 v1 General Relativity and Quantum Cosmology
General Physics
Abstract
We discuss the unstable character of the solutions of the Lorentz-Dirac equation and stress the need of methods like order reduction to derive a physically acceptable equation of motion. The discussion is illustrated with the paradigmatic example of the non-relativistic harmonic oscillator with radiation reaction. We also illustrate removal of the noncasual pre-acceleration with the introduction of a small correction in the Lorentz-Dirac equation.
Cite
@article{arxiv.physics/0307005,
title = {On the Solutions of the Lorentz-Dirac Equation},
author = {D. Vogt and P. S. Letelier},
journal= {arXiv preprint arXiv:physics/0307005},
year = {2015}
}
Comments
4 eps figs. to be published in GRG