2 Lie symmetries for two - dimensional charged particle motion
نویسندگان
چکیده
We find the Lie point symmetries for non–relativistic two-dimensional charged particle motion. These symmetries comprise a quasi–inva-riance transformation, a time–dependent rotation, a time–dependent spatial translation and a dilatation. 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.
منابع مشابه
2 Noether symmetries for two - dimensional charged particle motion
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 ...
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