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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Bibliographic Details
Date:2007
Main Author: Chalykh, O.
Format: Article
Language:English
Published: Інститут математики НАН України 2007
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/147836
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine