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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
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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.

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A. Enciso, F. Finkel, A. Gonzalez-Lopez, M. A. Rodriguez. 2006-11-03. Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials. https://doi.org/10.3842/sigma.2006.073

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