Noether symmetries for two-dimensional charged particle motion

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

2002-11-16

arxiv.org/abs/math-ph/0211030v1

J. Phys. A: Math. Gen. v. 32 (1999) 6837-6852

Physics

Mathematical Physics

Scientific paper

10.1088/0305-4470/32/39/309

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.

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