11 citations · 19 across the 6 of their papers we have counts for
6 papers
Stäckel and Eisenhart lifts, Haantjes geometry and Gravitation
Ondřej Kubů, Piergiulio Tempesta
We study lifts of integrable systems by means of generalized Stäckel geometry. To this end, we present the notion of Stäckel lift as a unified setting for the construction of new c…
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…
Hamiltonian integrable systems in a magnetic field and Symplectic-Haantjes geometry
Ondřej Kubů, Daniel Reyes, Piergiulio Tempesta +1
We investigate the geometry of classical Hamiltonian systems immersed in a magnetic field in three-dimensional Riemannian configuration spaces. We prove that these systems admit no…
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…
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…
New classes of quadratically integrable systems in magnetic fields: the generalized cylindrical and spherical cases
O. Kubů, A. Marchesiello, L. Šnobl
We study integrable and superintegrable systems with magnetic field possessing quadratic integrals of motion on the three-dimensional Euclidean space. In contrast with the case wit…