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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 073, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.073 (Mi sigma101) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Quasi-Exactly Solvable $N$-Body Spin Hamiltonians with Short-Range Interaction Potentials

A. Enciso, F. Finkel, A. González-López, M. A. Rodríguez

Depto. Física Teórica II, Universidad Complutense, 28040 Madrid, Spain
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DOI: https://doi.org/10.3842/SIGMA.2006.073
Abstract: 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.
Keywords: Calogero–Sutherland models; exchange operators; quasi-exact solvability.
Received: September 15, 2006; in final form October 23, 2006; Published online November 3, 2006
Bibliographic databases:
Document Type: Article
MSC: 81Q05; 35Q40
Language: English
Citation: A. Enciso, F. Finkel, A. González-López, M. A. Rodríguez, “Quasi-Exactly Solvable $N$-Body Spin Hamiltonians with Short-Range Interaction Potentials”, SIGMA, 2 (2006), 073, 11 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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