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nlin.SI2024★ 2 cited
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…
math-ph2024★ 1 cited
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…