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25 April 2024

» arxiv » nlin/0611008

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Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials
A. Enciso ; F. Finkel ; A. Gonzalez-Lopez ; M.A. Rodriguez ;
Date:	3 Nov 2006
Journal:	SIGMA 2 (2006), 073, 11 pages
Subject:	Exactly Solvable and Integrable Systems
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.
Source:	arXiv, nlin/0611008
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