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quant-ph2022★ 1 cited
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…
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…