Bethe Ansatz for the Ruijsenaars Model of BC₁-Type

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• ISSN: 1815-0659
• Main Author: Chalykh, O.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147836
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• 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.

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...