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New quasi-exactly solvable hamiltonians in 2 dimensions

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dc.contributor.authorGonzález López, Artemio
dc.contributor.authorKamran, Niky
dc.contributor.authorOlver, Peter J.
dc.date.accessioned2023-06-20T20:10:03Z
dc.date.available2023-06-20T20:10:03Z
dc.date.issued1994-01
dc.description© Springer
dc.description.abstractQuasi-exactly solvable Schrodinger operators have the remarkable property that a part of their spectrum can be computed by algebraic methods. Such operators lie in the enveloping algebra of a finite-dimensional Lie algebra of first order differential operators-the" hidden symmetry algebra. "In this paper we develop some general techniques for constructing quasi-exactly solvable operators. Our methods are applied to provide a wide variety of new explicit two-dimensional examples (on both flat and curved spaces) of quasi-exactly solvable Hamiltonians, corresponding to both semisimple and more general classes of Lie algebras.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/32877
dc.identifier.doi10.1007/BF02099982
dc.identifier.issn0010-3616
dc.identifier.officialurlhttp://dx.doi.org/10.1007/BF02099982
dc.identifier.relatedurlhttp://link.springer.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59729
dc.issue.number3
dc.journal.titleCommunications in mathematical physics
dc.language.isoeng
dc.page.final537
dc.page.initial503
dc.publisherSpringer
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordDifferential-operators
dc.subject.keywordQuantum-mechanics
dc.subject.keywordPartial algebraization
dc.subject.keywordLie-algebras
dc.subject.keywordScattering
dc.subject.keywordEquations
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleNew quasi-exactly solvable hamiltonians in 2 dimensions
dc.typejournal article
dc.volume.number159
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