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
Descripción
Sumario: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.