Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials

We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial modification of the exchange operator formalism is used to obtain several infini...

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Detalles Bibliográficos
Autores: Enciso, Alberto, Finkel Morgenstern, Federico, González López, Artemio, Rodríguez González, Miguel Ángel
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/51523
Acceso en línea:https://hdl.handle.net/20.500.14352/51523
Access Level:acceso abierto
Palabra clave:51-73
Calogero–Sutherland models
Exchange operators
Quasi-exact solvability
Física-Modelos matemáticos
Física matemática
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spelling Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentialsEnciso, AlbertoFinkel Morgenstern, FedericoGonzález López, ArtemioRodríguez González, Miguel Ángel51-73Calogero–Sutherland modelsExchange operatorsQuasi-exact solvabilityFísica-Modelos matemáticosFísica matemáticaWe review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial modification of the exchange operator formalism is used to obtain several infinite families of eigenfunctions of these models in closed form.Institute of Mathematics of National Academy of Science of UkraineUniversidad Complutense de Madrid20062006-11-0320062006-11-03journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/51523reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/515232026-06-02T12:44:21Z
dc.title.none.fl_str_mv Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials
title Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials
spellingShingle Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials
Enciso, Alberto
51-73
Calogero–Sutherland models
Exchange operators
Quasi-exact solvability
Física-Modelos matemáticos
Física matemática
title_short Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials
title_full Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials
title_fullStr Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials
title_full_unstemmed Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials
title_sort Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials
dc.creator.none.fl_str_mv Enciso, Alberto
Finkel Morgenstern, Federico
González López, Artemio
Rodríguez González, Miguel Ángel
author Enciso, Alberto
author_facet Enciso, Alberto
Finkel Morgenstern, Federico
González López, Artemio
Rodríguez González, Miguel Ángel
author_role author
author2 Finkel Morgenstern, Federico
González López, Artemio
Rodríguez González, Miguel Ángel
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
Calogero–Sutherland models
Exchange operators
Quasi-exact solvability
Física-Modelos matemáticos
Física matemática
topic 51-73
Calogero–Sutherland models
Exchange operators
Quasi-exact solvability
Física-Modelos matemáticos
Física matemática
description We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial modification of the exchange operator formalism is used to obtain several infinite families of eigenfunctions of these models in closed form.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-11-03
2006
2006-11-03
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/20.500.14352/51523
url https://hdl.handle.net/20.500.14352/51523
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 Institute of Mathematics of National Academy of Science of Ukraine
publisher.none.fl_str_mv Institute of Mathematics of National Academy of Science of Ukraine
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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