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math-ph2019
Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates
Antonella Marchesiello, Libor Šnobl
We consider superintegrability in classical mechanics in the presence of magnetic fields. We focus on three-dimensional systems which are separable in Cartesian coordinates. We con…
math-ph2018
An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals
Antonella Marchesiello, Libor Šnobl
We construct an additional independent integral of motion for a class of three dimensional minimally superintegrable systems with constant magnetic field. This class was introduced…