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

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

Symmetry, integrability and geometry: methods and applications, Tome 2 (2006)

Résumé

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.

Détail

Keywords: Calogero–Sutherland models; exchange operators; quasi-exact solvability.

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