Real Lie algebras of differential operators and quasi-exactly solvable potentials

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dc.contributor.authorGonzález López, Artemio
dc.contributor.authorKamran, Niky
dc.contributor.authorOlver, Peter J.
dc.date.accessioned2023-06-20T20:10:01Z
dc.date.available2023-06-20T20:10:01Z
dc.date.issued1996-03-15
dc.description© Royal Society of London. Acknowledgment: It is a pleasure to thank the referees for useful comments. Supported in part by DGICYT Grant PB92-0197. Supported in part by an NSERC Grant. Supported in part by NSF Grants DMS 92-04192 and 95-00931.
dc.description.abstractWe first establish some general results connecting real and complex Lie algebras ofirst-order diferential operators. These are applied to completely classify all finite-dimensional real Lie algebras of first-order diferential operators in R^2 . Furthermore, we find all algebras which are quasi-exactly solvable, along with the associated finitedimensional modules of analytic functions. The resulting real Lie algebras are used to construct new quasi-exactly solvable Schrödinger operators on R^2
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.sponsorshipNSERC
dc.description.sponsorshipNSF
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/32868
dc.identifier.doi10.1098/rsta.1996.0044
dc.identifier.issn1364-503X
dc.identifier.officialurlhttp://dx.doi.org/10.1098/rsta.1996.0044
dc.identifier.relatedurlhttp://rsta.royalsocietypublishing.org
dc.identifier.relatedurlhttp://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.51.6430&rep=rep1&type=pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59728
dc.issue.number1710
dc.journal.titlePhilosophical transactions - Royal Society. Mathematical, physical and engineering science
dc.language.isoeng
dc.page.final1193
dc.page.initial1165
dc.publisherRoyal Society of London
dc.relation.projectIDPB92-0197
dc.relation.projectIDDMS 92-04192
dc.relation.projectID95-00931
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keyword2 Complex-variables
dc.subject.keywordQuantal problems
dc.subject.keywordVector-fields
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleReal Lie algebras of differential operators and quasi-exactly solvable potentials
dc.typejournal article
dc.volume.number354
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