Exact solution to the Landau-Lifshitz equation in a constant electromagnetic field
High Energy Physics - Theory
2017-05-03 v2
Abstract
We are interested in the motion of a classical charge acted upon an external constant electromagnetic field where the back reaction of the particle's own field is taken into account. The Landau-Lifshitz approximation to the Lorentz-Abraham-Dirac equation is solved exactly and in closed form. It is shown that the ultrarelativistic limit of the Landau-Lifshitz equation for a radiating charge is the equation for eigenvalues and eigenvectors of the external electromagnetic field tensor.
Keywords
Cite
@article{arxiv.1412.1661,
title = {Exact solution to the Landau-Lifshitz equation in a constant electromagnetic field},
author = {Yurij Yaremko},
journal= {arXiv preprint arXiv:1412.1661},
year = {2017}
}