Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials
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...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2006 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146108 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862615785371860992 |
|---|---|
| author | Enciso, A. Finkel, F. González-López, A. Rodríguez, M.A. |
| author_facet | Enciso, A. Finkel, F. González-López, A. Rodríguez, M.A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2025-12-07T13:07:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146108 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:07:53Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Enciso, A. Finkel, F. González-López, A. Rodríguez, M.A. 2019-02-07T13:34:53Z 2019-02-07T13:34:53Z 2006 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. 1815-0659 2000 Mathematics Subject Classification: 81Q05; 35Q40 https://nasplib.isofts.kiev.ua/handle/123456789/146108 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials Article published earlier |
| spellingShingle | Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials Enciso, A. Finkel, F. González-López, A. Rodríguez, M.A. |
| title | Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials |
| title_full | Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials |
| title_fullStr | Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials |
| title_full_unstemmed | Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials |
| title_short | Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials |
| title_sort | quasi-exactly solvable n-body spin hamiltonians with short-range interaction potentials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146108 |
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