Lie symmetries for two-dimensional charged particle motion
数学物理
2009-11-07 v1 math.MP
摘要
We find the Lie point symmetries for non-relativistic two-dimensional charged particle motion. These symmetries comprise a quasi-invariance transformation, a time-dependent rotation, a time-dependent spatial translation and a dilation. The associated electromagnetic fields satisfy a system of first-order linear partial differential equations. This system is solved exactly, yielding four classes of electromagnetic fields compatible with Lie point symmetries.
引用
@article{arxiv.math-ph/0211034,
title = {Lie symmetries for two-dimensional charged particle motion},
author = {F. Haas and J. Goedert},
journal= {arXiv preprint arXiv:math-ph/0211034},
year = {2009}
}