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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Enciso, A., Finkel, F., González-López, A., Rodríguez, M.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146108
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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. — 2006. — Т. 2. — Бібліогр.: 42 назв. — англ.

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 infini...