Problematic solutions to the Landau-Lifshitz equation
经典物理
2007-05-23 v2
摘要
A critical look at the Landau-Lifshitz equation, which has been recently advocated as an "exact" relativistic classical equation for the motion of a point charge with radiation reaction, demonstrates that it generally does not conserve energy-momentum. Its failure is dramatic in the one-dimensional case of a stepped electric field, where it predicts discontinuous velocity and thus infinite radiation. The Lorentz-Dirac equation, on the other hand, in spite of its preacceleration over distances comparable to the classical electron radius, does not display such problems.
引用
@article{arxiv.physics/0204061,
title = {Problematic solutions to the Landau-Lifshitz equation},
author = {W. E. Baylis and J. Huschilt},
journal= {arXiv preprint arXiv:physics/0204061},
year = {2007}
}
备注
7 pages, 1 figure