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

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

2006-11-03

arxiv.org/abs/nlin/0611008v1

SIGMA 2:073,2006

Nonlinear Sciences

Exactly Solvable and Integrable Systems

This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portuga

Scientific paper

10.3842/SIGMA.2006.073

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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