On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models

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dc.contributor.authorRodríguez González, Miguel Ángel
dc.contributor.authorTempesta, Piergiulio
dc.date.accessioned2023-06-22T12:36:13Z
dc.date.available2023-06-22T12:36:13Z
dc.date.issued2022-12-16
dc.description© 2022 IOP Publishing Ltd. We wish to thank G Gubbiotti and D Latini for interesting discussions. This work has been partly supported by the Universidad Complutense de Madrid under Grant G/6400100/3000, and by the Severo Ochoa Programme for Centres of Excellence in R & D (CEX2019-000904-S), Ministerio de Ciencia, Innovacion y Universidades y Agencia Estatal de Investigacion, Spain.P T is member of the Gruppo Nazionale di Fisica Matematica (GNFM).
dc.description.abstractWe introduce a family of n-dimensional Hamiltonian systems which, contain, as special reductions, several superintegrable systems as the Tremblay-Turbiner-Winternitz system, a generalized Kepler potential and the anisotropic harmonic oscillator with Rosochatius terms. We conjecture that there exist special values in the space of parameters, apart from those leading to known cases, for which this new Hamiltonian family is superintegrable.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.sponsorshipCentros de Excelencia Severo Ochoa (MICINN)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/76488
dc.identifier.doi10.1088/1751-8121/acaada
dc.identifier.issn1751-8113
dc.identifier.officialurlhttp://dx.doi.org/10.1088/1751-8121/acaada
dc.identifier.relatedurlhttps://iopscience.iop.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/72911
dc.issue.number50
dc.journal.titleJournal of physics A: Mathematical and theoretical
dc.language.isoeng
dc.publisherIOP Publishing Ltd
dc.relation.projectIDG/6400100/3000
dc.relation.projectIDCEX2019-000904-S
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordExact solvability
dc.subject.keywordSymmetries.
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleOn higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
dc.typejournal article
dc.volume.number55
dspace.entity.typePublication
relation.isAuthorOfPublicationd781a665-7ef6-44e0-a0da-81f722f1b8ad
relation.isAuthorOfPublication46e9a666-a5cf-44c3-8726-7cbe2c61bd1a
relation.isAuthorOfPublication.latestForDiscoveryd781a665-7ef6-44e0-a0da-81f722f1b8ad
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