Elliptic Ruijsenaars-Schneider and Calogero-Moser models represented by Sklyanin algebra and sl(n) Gaudin algebra

Authors
Chen, K Fan, H Hou, B Shi, K Yang, W Yue, R
Citation
K. Chen et al., Elliptic Ruijsenaars-Schneider and Calogero-Moser models represented by Sklyanin algebra and sl(n) Gaudin algebra, PROG T PH S, (135), 1999, pp. 149-165
Citations number
46
Categorie Soggetti
Physics
Journal title
PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT
ISSN journal
03759687 → ACNP
Issue
135
Year of publication
1999
Pages
149 - 165
Database
ISI
SICI code
0375-9687(1999):135<149:ERACMR>2.0.ZU;2-W
Abstract
The relationship between Elliptic Ruijsenaars-Schneider (RS) and Calogero-M oser (CM) models with Sklyanin algebra is presented. Lax pair representatio ns of the Elliptic RS and CM are reviewed. For n = 2 case, the eigenvalue a nd eigenfunction for Lame equation are found by using the result of the Bet he ansatz method.