The Lax pair for C 2 -type Ruijsenaars- Schneider model
نویسندگان
چکیده
منابع مشابه
0 The Lax pair for C 2 - type Ruijsenaars - Schneider model
We study the C2 Ruijsenaars-Schneider(RS) models with interaction potentials of rational and trigonometric types. The Lax pairs for these models are constructed and the involutive Hamiltonians are also given. Taking nonrelativistic limit, we obtain the Lax pair of C2 Calogero-Moser model. PACS: 02.20.+b, 11.10.Lm, 03.80.+r
متن کامل6 v 2 2 1 Ju n 20 01 The Lax pair for C 2 - type Ruijsenaars - Schneider model ∗
We study the C2 Ruijsenaars-Schneider(RS) model with interaction potential of trigonometric type. The Lax pairs for the model with and without spectral parameter are constructed. Also given are the involutive Hamiltonians for the system. Taking nonrelativistic limit, we obtain the Lax pair of C2 Calogero-Moser model.
متن کاملThe D n Ruijsenaars - Schneider model
The Lax pair of the Ruijsenaars-Schneider model with interaction potential of trigonometric type based on Dn Lie algebra is presented. We give a general form for the Lax pair and prove partial results for small n. Liouville integrability of the corresponding system follows a series of involutive Hamiltonians generated by the characteristic polynomial of the Lax matrix. The rational case appears...
متن کاملOn the integrability of classical Ruijsenaars-Schneider Model of BC2 type
The problem of finding most general form of the classical integrable relativistic models of many-body interaction of the BCn type is considered. In the simplest nontrivial case of n=2, the extra integral of motion is presented in explicit form within the ansatz similar to the nonrelativistic Calogero-Moser models. The resulting Hamiltonian has been found by solving the set of two functional equ...
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...
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ژورنال
عنوان ژورنال: Chinese Physics
سال: 2001
ISSN: 1009-1963,1741-4199
DOI: 10.1088/1009-1963/10/6/316