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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…
nlin.SI2022★ 11 cited
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…