Noether symmetries for two-dimensional charged particle motion
Mathematical Physics
2009-11-07 v1 math.MP
Abstract
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.
Keywords
Cite
@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}
}