Lie symmetries for two-dimensional charged particle motion

Details Lie symmetries for two-dimensional charged particle motion Lie symmetries for two-dimensional charged particle motion

2002-11-17

arxiv.org/abs/math-ph/0211034v1

J. Phys. A: Math. Gen. v. 33 (2000) 4661-4677

Physics

Mathematical Physics

Scientific paper

10.1088/0305-4470/33/25/308

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.

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