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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2007 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147836 |
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| Cite this: | 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. |
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Chalykh, O. 2019-02-16T09:05:06Z 2019-02-16T09:05:06Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/147836 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. This paper is a contribution to the Vadim Kuznetsov Memorial Issue ‘Integrable Systems and Related Topics’. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Bethe Ansatz for the Ruijsenaars Model of BC₁-Type Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Bethe Ansatz for the Ruijsenaars Model of BC₁-Type |
| spellingShingle |
Bethe Ansatz for the Ruijsenaars Model of BC₁-Type Chalykh, O. |
| 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 |
| author |
Chalykh, O. |
| author_facet |
Chalykh, O. |
| publishDate |
2007 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT chalykho betheansatzfortheruijsenaarsmodelofbc1type |
| first_indexed |
2025-12-07T19:36:30Z |
| last_indexed |
2025-12-07T19:36:30Z |
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1850879446188294144 |