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Bethe ansatz for the Ruijsenaars model of BC1- type

Chalykh, O (2007) Bethe ansatz for the Ruijsenaars model of BC1- type. Symmetry, Integrability and Geometry, Methods and Applications : SIGMA, 3. ISSN 1815-0659

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Abstract

We consider one-dimensional elliptic Ruijsenaars model of type BC1. We show that when all coupling constants are integers, it has meromorphic eigenfunctions expressed by a variant of Bethe ansatz. This result generalizes the Bethe ansatz formulas known in the A1-case.

Item Type: Article
Copyright, Publisher and Additional Information: © 2007 Chalyke,O. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Keywords: Bloch eigenfunction, Heun equation, spectral curve., three-term difference operator
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Depositing User: Symplectic Publications
Date Deposited: 04 Nov 2011 10:59
Last Modified: 17 Jun 2014 15:30
Published Version: http://dx.doi.org/10.3842/SIGMA.2007.028
Status: Published
Publisher: Kiev, Ukraine: Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine
Refereed: Yes
Identification Number: 10.3842/SIGMA.2007.028
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/43359

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