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

We 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...

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Detalles Bibliográficos
Autores: Rodríguez González, Miguel Ángel, Tempesta, Piergiulio
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/72911
Acceso en línea:https://hdl.handle.net/20.500.14352/72911
Access Level:acceso abierto
Palabra clave:51-73
Exact solvability
Symmetries.
Física-Modelos matemáticos
Física matemática
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spelling On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian modelsRodríguez González, Miguel ÁngelTempesta, Piergiulio51-73Exact solvabilitySymmetries.Física-Modelos matemáticosFísica matemáticaWe 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.IOP Publishing LtdUniversidad Complutense de Madrid20222022-12-1620222022-12-16journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/72911reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/729112026-06-02T12:44:21Z
dc.title.none.fl_str_mv On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
title On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
spellingShingle On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
Rodríguez González, Miguel Ángel
51-73
Exact solvability
Symmetries.
Física-Modelos matemáticos
Física matemática
title_short On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
title_full On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
title_fullStr On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
title_full_unstemmed On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
title_sort On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
dc.creator.none.fl_str_mv Rodríguez González, Miguel Ángel
Tempesta, Piergiulio
author Rodríguez González, Miguel Ángel
author_facet Rodríguez González, Miguel Ángel
Tempesta, Piergiulio
author_role author
author2 Tempesta, Piergiulio
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
Exact solvability
Symmetries.
Física-Modelos matemáticos
Física matemática
topic 51-73
Exact solvability
Symmetries.
Física-Modelos matemáticos
Física matemática
description We 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.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-12-16
2022
2022-12-16
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/72911
url https://hdl.handle.net/20.500.14352/72911
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP Publishing Ltd
publisher.none.fl_str_mv IOP Publishing Ltd
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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