The Motion of a Pair of Charged Particles
Classical Physics
2013-10-22 v1 Mathematical Physics
math.MP
Abstract
We re-visit the problem of two (oppositely) charged particles interacting electromagnetically in one dimension with retarded potentials and no radiation reaction. The specific quantitative result of interest is the time it takes for the particles to fall in towards one another. Starting with the non-relativistic form, we answer this question while adding layers of complexity until we arrive at the full relativistic delay differential equation that governs this problem. That case can be solved using the Synge method, which we describe and discuss.
Keywords
Cite
@article{arxiv.1310.4875,
title = {The Motion of a Pair of Charged Particles},
author = {J. Franklin and C. LaMont},
journal= {arXiv preprint arXiv:1310.4875},
year = {2013}
}
Comments
to appear in Brazilian Journal of Physics vol. 43