Two- and Many-Dimensional Quasi-Exactly Solvable Models With An Inhomogeneous Magnetic Field

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dc.creatorZaslavskii, O. B.
dc.date1998-12-29
dc.date.accessioned2026-07-07T06:17:44Z
dc.date.available2026-07-07T06:17:44Z
dc.descriptionLet group generators having finite-dimensional representation be realized as Hermitian linear differential operators without nhomogeneous terms as takes place, for example, for the SO(n) group. Then orresponding group Hamiltonians containing terms linear in generators (along with quadratic ones) give rise to quasi-exactly solvable models with a magnetic field in a curved space. In particular, in the two-dimensional case such models are generated by quantum tops. In the three-dimensional one for the SO(4) Hamiltonian with an isotropic quadratic part the manifold within which a quantum particle moves has the geometry of the Einstein universe.
dc.description7 pages, ReVTeX. Talk given at the 22nd International Colloqium for Group Theoretical Methods in Physics
dc.identifierhttps://arxiv.org/abs/solv-int/9812031
dc.identifierhttp://arxiv.org/abs/solv-int/9812031
dc.identifier`Group22: Proceedings of the XXII International Colloquium on Group Theoretical Methods in Physics', Eds S P Corney, R Delbourgo and P D Jarvis (Cambridge, MA: International Press) 1998, pp.234-238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94486
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subjectQuantum Physics
dc.titleTwo- and Many-Dimensional Quasi-Exactly Solvable Models With An Inhomogeneous Magnetic Field
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