3 papers
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-ph2019
Cylindrical type integrable classical systems in a magnetic field
Felix Fournier, Libor Šnobl, Pavel Winternitz
We present all second order classical integrable systems of the cylindrical type in a three dimensional Euclidean space with a nontrivial magnetic field. The Hamilto…
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…