Bethe Ansatz for the Ruijsenaars Model of BC_1-Type

We consider one-dimensional elliptic Ruijsenaars model of type $BC_1$. 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. Th...

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Bibliographic Details
Main Author: Oleg Chalykh
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2007/028/