Noether symmetries for two-dimensional charged particle motion
数学物理
2009-11-07 v1 math.MP
摘要
We find the Noether point symmetries for non-relativistic two-dimensional charged particle motion. These symmetries are composed of a quasi-invariance transformation, a time-dependent rotation and a time-dependent spatial translation. The associated electromagnetic field satisfy a system of first-order linear partial differential equations. This system is solved exactly, yielding three classes of electromagnetic fields compatible with Noether point symmetries. The corresponding Noether invariants are derived and interpreted.
关键词
引用
@article{arxiv.math-ph/0211030,
title = {Noether symmetries for two-dimensional charged particle motion},
author = {F. Haas and J. Goedert},
journal= {arXiv preprint arXiv:math-ph/0211030},
year = {2009}
}