Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials
Exactly Solvable and Integrable Systems
2008-12-19 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.nlin/0611008,
title = {Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials},
author = {A. Enciso and F. Finkel and A. Gonzalez-Lopez and M. A. Rodriguez},
journal= {arXiv preprint arXiv:nlin/0611008},
year = {2008}
}
Comments
This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/