Chalykh, O (2007) Bethe ansatz for the Ruijsenaars model of BC1- type. Symmetry, Integrability and Geometry, Methods and Applications : SIGMA, 3. ISSN 1815-0659
Available under licence : See the attached licence file.
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.
|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|
|Publisher:||Kiev, Ukraine: Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine|