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Bethe Ansatz for the Ruijsenaars Model of BC₁-Type
We consider one-dimensional elliptic Ruijsenaars model of type BC₁. It is given by a three-term difference Schrödinger operator L containing 8 coupling constants. We show that when all coupling constants are integers, L has meromorphic eigenfunctions expressed by a variant of Bethe ansatz. This resu...
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Інститут математики НАН України
2007
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147836 |
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irk-123456789-1478362019-02-17T01:25:00Z Bethe Ansatz for the Ruijsenaars Model of BC₁-Type Chalykh, O. We consider one-dimensional elliptic Ruijsenaars model of type BC₁. It is given by a three-term difference Schrödinger operator L containing 8 coupling constants. We show that when all coupling constants are integers, L has meromorphic eigenfunctions expressed by a variant of Bethe ansatz. This result generalizes the Bethe ansatz formulas known in the A₁-case. 2007 Article Bethe Ansatz for the Ruijsenaars Model of BC₁-Type / O. Chalykh // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 21 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 33E30; 81U15 http://dspace.nbuv.gov.ua/handle/123456789/147836 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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English |
| description |
We consider one-dimensional elliptic Ruijsenaars model of type BC₁. It is given by a three-term difference Schrödinger operator L containing 8 coupling constants. We show that when all coupling constants are integers, L has meromorphic eigenfunctions expressed by a variant of Bethe ansatz. This result generalizes the Bethe ansatz formulas known in the A₁-case. |
| format |
Article |
| author |
Chalykh, O. |
| spellingShingle |
Chalykh, O. Bethe Ansatz for the Ruijsenaars Model of BC₁-Type Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Chalykh, O. |
| author_sort |
Chalykh, O. |
| title |
Bethe Ansatz for the Ruijsenaars Model of BC₁-Type |
| title_short |
Bethe Ansatz for the Ruijsenaars Model of BC₁-Type |
| title_full |
Bethe Ansatz for the Ruijsenaars Model of BC₁-Type |
| title_fullStr |
Bethe Ansatz for the Ruijsenaars Model of BC₁-Type |
| title_full_unstemmed |
Bethe Ansatz for the Ruijsenaars Model of BC₁-Type |
| title_sort |
bethe ansatz for the ruijsenaars model of bc₁-type |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147836 |
| citation_txt |
Bethe Ansatz for the Ruijsenaars Model of BC₁-Type / O. Chalykh // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 21 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT chalykho betheansatzfortheruijsenaarsmodelofbc1type |
| first_indexed |
2023-05-20T17:28:38Z |
| last_indexed |
2023-05-20T17:28:38Z |
| _version_ |
1796153384770732032 |