Chalykh, O (2007) Bethe ansatz for the Ruijsenaars model of BC1- type. Symmetry, Integrability and Geometry, Methods and Applications : SIGMA, 3. ISSN 1815-0659
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.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| 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 |
| Dates: |
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| Institution: | The University of Leeds |
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
| Depositing User: | Symplectic Publications |
| Date Deposited: | 04 Nov 2011 10:59 |
| Last Modified: | 27 Oct 2016 10:54 |
| 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: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:43359 |
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