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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 5 Issue 3 (1998) pp 583-588
Diagonalization of the elliptic Ruijsenaars model. Correspondence with the Belavin model
K. Hikami (a), Y. Komori
Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo, Tokyo 113-0033, Japan
Received: 29 January 1998 / Accepted: 17 April 1998
Abstract: Studied is the elliptic Ruijsenaars model, which is a difference analogue of the Calogero-Sutherland-Moser model. Using a novel relationship between the elliptic Ruijsenaars operator and the transfer matrix of the Belavin model, we diagonalize the Ruijsenaars operator by the algebraic Bethe ansatz method.
PACS. 02.90.+p Other topics in mathematical methods in physics - 05.90.+m Other topics in statistical physics and thermodynamics - 75.10.Jm Quantized spin models
(a) email: hikami@phys.s.u-tokyo.ac.jp
Article in PDF format (324 KB)
Online publication: October 26, 1998
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