Noether symmetries for charged particle motion under a magnetic monopole and general electric fields

Details Noether symmetries for charged particle motion under a magnetic monopole and general electric fields Noether symmetries for charged particle motion under a magnetic monopole and general electric fields

2002-11-17

arxiv.org/abs/physics/0211074v1

Physics

Classical Physics

Scientific paper

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.

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