Dynamicalr-matrix for the elliptic Ruijsenaars - Schneider system
نویسندگان
چکیده
منابع مشابه
Dynamical r - matrix for the elliptic Ruijsenaars - Schneider system
The classical r-matrix structure for the generic elliptic Ruijsenaars-Schneider model is presented. It makes the integrability of this model as well as of its discrete-time version that was constructed in a recent paper manifest.
متن کاملThe Classical R-matrix for the Relativistic Ruijsenaars-schneider System
We compute the classical r-matrix for the relativistic generalization of the Calogero-Moser model, or Ruijsenaars-Schneider model, at all values of the speed-of-light parameter λ. We connect it with the non-relativistic Calogero-Moser r-matrix (λ → −1) and the λ = 1 sine-Gordon soliton limit.
متن کاملThe dynamical twisting and nondynamical r-matrix structure for the elliptic Ruijsenaars-Schneider model
From the dynamical twisting of the classical r-matrix, we obtain a new Lax operator for the elliptic Ruijsenaars-Schneider model (cf. Ruisenaars’). The corresponding r-matrix is shown to be the classical Zn-symmetric elliptic r-matrix, which is the same as that obtained in the study of the nonrelativistic version—the An−1 Calogero-Moser model givened by us. Mathematics Subject Classification : ...
متن کاملThe Nondynamical R-matrix Structure of the Elliptic Ruijsenaars-schneider Model with N=2
We demonstrate that in a certain gauge the elliptic Ruijsenaars-Shneider model with N=2 admits a nondynamical r-matrix structure and the corresponding classical r-matrix is the same as that of its non-relativistic counterpart (Calogero-Moser model ) in the same gauge.The relation between our (classical) Lax operator and the Lax operator given by Ruijsenaars is also obtained. Mathematics Subject...
متن کاملThe dynamical twisting and nondynamical r-matrix structure of elliptic Ruijsenaars-Schneider model
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 Zn-symmetric elliptic r-matrix, which is the same as that obtained in the study of the nonrelativistic version—the An−1 Calogero-Moser model. Mathematics Subject Classification : 70F10 , 70H33...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1996
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/29/13/005