Elliptic Ruijsenaars-Schneider and Calogero-Moser Models Represented by Sklyanin Algebra and sl(n) Gaudin Algebra

Details Elliptic Ruijsenaars-Schneider and Calogero-Moser Models Represented by Sklyanin Algebra and sl(n) Gaudin Algebra Elliptic Ruijsenaars-Schneider and Calogero-Moser Models Represented by Sklyanin Algebra and sl(n) Gaudin Algebra

2002-01-26

arxiv.org/abs/hep-th/0201211v1

Prog.Theor.Phys.Suppl.135:149-165,1999

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, no figures. This article is posted for archival purpose. Proceeding of International Conference on "Gauge Theory and

Scientific paper

10.1143/PTPS.135.149

The relationship between Elliptic Ruijsenaars-Schneider (RS) and
Calogero-Moser (CM) models with Sklyanin algebra is presented. Lax pair
representations of the Elliptic RS and CM are reviewed. For n=2 case, the
eigenvalue and eigenfunction for Lame equation are found by using the result of
the Bethe ansatz method.

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