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



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Enciso, Alberto and Finkel Morgenstern, Federico and González López, Artemio and Rodríguez González, Miguel Ángel (2006) Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials. SIGMA. Symmetry, integrability and geometry: methods and applications, 2 . ISSN 1815-0659

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Official URL: http://www.emis.ams.org/journals/SIGMA/2006/Paper073/sigma06-073.pdf


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.

Item Type:Article
Additional Information:

©Institute of Mathematics of National Academy of Science of Ukraine.
This work was partially supported by the DGI under grant no. FIS2005-00752. A.E. acknowledges the financial support of the Spanish Ministry of Education through an FPU scholarship.

Uncontrolled Keywords:Calogero–Sutherland models; Exchange operators; Quasi-exact solvability
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:31442
Deposited On:15 Jul 2015 16:00
Last Modified:10 Dec 2018 15:09

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