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Diagonalization of the elliptic Ruijsenaars model. Correspondence with the Belavin model
Authors:K. Hikami  Y. Komori
Affiliation:(1) Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo, Tokyo 113-0033, Japan, JP
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. Received: 29 January 1998 / Accepted: 17 April 1998
Keywords: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
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