3 papers
math-ph2024
On the incompleteness of the classification of quadratically integrable Hamiltonian systems in the three-dimensional Euclidean space
Libor Snobl
We present an example of an integrable Hamiltonian system with scalar potential in the three-dimensional Euclidean space whose integrals of motion are quadratic polynomials in the…
math-ph2024
Superintegrable families of magnetic monopoles with non-radial potential in curved background
Antonella Marchesiello, Daniel Reyes, Libor Å nobl
We review some known results on the superintegrability of monopole systems in the three-dimensional (3D) Euclidean space and in the 3D generalized Taub-NUT spaces. We show that the…
nlin.SI2024
Integrable systems in magnetic fields: the generalized parabolic cylindrical case
O. Kubů, A. Marchesiello, L. Šnobl
This article is a contribution to the classification of quadratically integrable systems with vector potentials whose integrals are of the nonstandard, nonseparable type. We focus…