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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2007 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147836 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862733305867141120 |
|---|---|
| author | Chalykh, O. |
| author_facet | Chalykh, O. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T19:36:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147836 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:36:30Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Bethe Ansatz for the Ruijsenaars Model of BC₁-Type Chalykh, O. |
| title | 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_short | Bethe Ansatz for the Ruijsenaars Model of BC₁-Type |
| title_sort | bethe ansatz for the ruijsenaars model of bc₁-type |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147836 |
| work_keys_str_mv | AT chalykho betheansatzfortheruijsenaarsmodelofbc1type |