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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 028, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.028 (Mi sigma154) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Bethe Ansatz for the Ruijsenaars Model of $BC_1$-Type

Oleg Chalykh

School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
Full-text PDF (248 kB) Citations (2)
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DOI: https://doi.org/10.3842/SIGMA.2007.028
Abstract: 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. This result generalizes the Bethe ansatz formulas known in the $A_1$-case.
Keywords: Heun equation; three-term difference operator; Bloch eigenfunction; spectral curve.
Received: December 14, 2006; in final form February 6, 2007; Published online February 22, 2007
Bibliographic databases:
Document Type: Article
MSC: 33E30; 81U15
Language: English
Citation: Oleg Chalykh, “Bethe Ansatz for the Ruijsenaars Model of $BC_1$-Type”, SIGMA, 3 (2007), 028, 9 pp.
Citation in format AMSBIB
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\by Oleg Chalykh
\paper Bethe Ansatz for the Ruijsenaars Model of $BC_1$-Type
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    		Symmetry, Integrability and Geometry: Methods and Applications
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