2002/11/17 by F. Haas, Haas, F.
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.class-ph #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.physics/0211074
arxiv created 2002/11/17 · arxiv updated 2009/12/01
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.