The dynamical twisting and nondynamical r-matrix structure of elliptic Ruijsenaars-Schneider model

Abstract

From the dynamical twisting of the classical r-matrix, we obtain a new Lax operator for the elliptic Ruijsenaars-Schneider model (cf. Ruijsenaars'). The corresponding r-matrix is shown to be the classical $Z_n$-symmetric elliptic r-matrix, which is the same as that obtained in the study of the nonrelativistic version---the $A_{n-1}$ Calogero-Moser model.

Misprints are corrected; LaTex file 15 pages

References in corpus (1)

• The Ruijsenaars-Schneider Model

Cited by in corpus (7)

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• The non-dynamical r-matrices of the degenerate Calogero-Moser models
• Structures in BC_N Ruijsenaars-Schneider models
• On the classical r-matrix structure of the rational BC(n) Ruijsenaars-Schneider-van Diejen system
• On the r-matrix structure of the hyperbolic BC(n) Sutherland model
• On the Integrability of Classical Ruijsenaars-Schneider Model of $B{C}_2$ Type