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Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials
Інший ID:
2000 Mathematics Subject Classification: 81Q05; 35Q40
Посилання:
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.
Підтримка:
This paper is a contribution to the Proceedings of the Workshop on Geometric Aspects of Integrable Systems (July 17–19, 2006, University of Coimbra, Portugal). This work was partially supported by the DGI under grant no. FIS2005-00752. A.E. acknowledges the financial support of the Spanish Ministry of Education through an FPU scholarship.
Дата:
2006
Переглядів:
459
Завантажень:
261
Анотація:
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.
