Integrable and superintegrable quantum systems in a magnetic field

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dc.creatorBerube, Josee
dc.creatorWinternitz, Pavel
dc.date2003-11-26
dc.date.accessioned2026-07-07T04:30:46Z
dc.date.available2026-07-07T04:30:46Z
dc.descriptionIntegrable quantum mechanical systems with magnetic fields are constructed in two-dimensional Euclidean space. The integral of motion is assumed to be a first or second order Hermitian operator. Contrary to the case of purely scalar potentials, quadratic integrability does not imply separation of variables in the Schroedinger equation. Moreover, quantum and classical integrable systems do not necessarily coincide: the Hamiltonian can depend on the Planck constant in a nontrivial manner.
dc.description23 pages ,1 figure
dc.identifierhttps://arxiv.org/abs/math-ph/0311051
dc.identifierhttp://arxiv.org/abs/math-ph/0311051
dc.identifierJ.Math.Phys. 45(5), 1959-1973 (2004)
dc.identifierdoi:10.1063/1.1695447
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57578
dc.subjectMathematical Physics
dc.subject35Q40; 81R12
dc.titleIntegrable and superintegrable quantum systems in a magnetic field
dc.typetext

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