F Haas and J Goedert 1999 J. Phys. A: Math. Gen. 32 6837 doi:10.1088/0305-4470/32/39/309
F Haas and J Goedert
Show affiliationsWe 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 satisfies 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.
78A35 Motion of charged particles
35F05 General theory of linear first-order PDE
82C05 Classical dynamic and nonequilibrium statistical mechanics (general)
Issue 39 (1 October 1999)
Received 3 July 1999
F Haas and J Goedert 1999 J. Phys. A: Math. Gen. 32 6837
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