57 citations · 408 across the 30 of their papers we have counts for
29 papers
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…
Superintegrable families of magnetic monopoles with non-radial potential in curved background
Antonella Marchesiello, Daniel Reyes, Libor Šnobl
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…
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…
New classes of quadratically integrable systems with velocity dependent potentials: non-subgroup type cases
Md Fazlul Hoque, Ondřej Kubů, Antonella Marchesiello +1
We study quadratic integrability of systems with velocity dependent potentials in three-dimensional Euclidean space. Unlike in the case with only scalar potential, quadratic integr…
Family of nonstandard integrable and superintegrable classical Hamiltonian systems in non-vanishing magnetic fields
Md Fazlul Hoque, Libor Šnobl
In this paper we present the construction of all nonstandard integrable systems in magnetic fields whose integrals have leading order structure corresponding to the case (i) of The…
Quantum cylindrical integrability in magnetic fields
O. Kubů, L. Šnobl
We present the classification of quadratically integrable systems of the cylindrical type with magnetic fields in quantum mechanics. Following the direct method used in classical m…