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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| Дата: | 2006 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-146108 |
|---|---|
| record_format |
dspace |
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irk-123456789-1461082019-02-08T01:23:39Z Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials Enciso, A. Finkel, F. González-López, A. Rodríguez, M.A. 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. 2006 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146108 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Enciso, A. Finkel, F. González-López, A. Rodríguez, M.A. |
| spellingShingle |
Enciso, A. Finkel, F. González-López, A. Rodríguez, M.A. Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Enciso, A. Finkel, F. González-López, A. Rodríguez, M.A. |
| author_sort |
Enciso, A. |
| title |
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_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_sort |
quasi-exactly solvable n-body spin hamiltonians with short-range interaction potentials |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146108 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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