Noether symmetries for charged particle motion under a magnetic monopole and general electric fields
Classical Physics
2007-05-23 v1 General Physics
Abstract
The search for Noether point symmetries for non-relativistic charged particle motion is reduced to the solution for a set of two coupled, linear partial differential equations for the electromagnetic field. These equations are completely solved when the magnetic field is produced by a fixed magnetic monopole. The result is applied to central electric field cases, in particular to the time-dependent monopole-oscillator problem. As an additional example of the theory, we found all Noether point symmetries and invariants for a constant magnetic field and a time-dependent harmonic electric field with a forcing term.
Keywords
Cite
@article{arxiv.physics/0211074,
title = {Noether symmetries for charged particle motion under a magnetic monopole and general electric fields},
author = {F. Haas},
journal= {arXiv preprint arXiv:physics/0211074},
year = {2007}
}