Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones

WANG MeiXu; YANG WenLi; HOU BoYu

Chinese Physics C> 2000, Vol. 24> Issue(4) : 300-305

Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones

Institute of Modern Physics, Northwest University, Xi' an 710069, China

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Abstract：
We gave a new Lax representation of rational Ruijsenaars-Schneider models(n=2) which is governed by the same r-matrix as in Calogero-Moser model,and found that the corresponding r-matrix is non-dynamical.

References

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Nijhoff F W, Ragnisco O, Kuznetsov V B. Comm.Math.Phys., 1996, 176:681 2 Caselle M. Phys. Rev. Lett., 1995, 74:27763 Marotta V, Sciarrino A. Nucl. Phys., 1996, B476:3514 Freidel L, Maillet J M. Phys. Lett., 1991, B262:278 5 Ruijsenaars S N M. Comm.Math. Phys., 1988, 115:1276 Nijhoff F W, Kuznetsov V B, Sklyanin E K et al. J. Phys. (Math. Gen. ), 1996, A29:L3337 Suris Y B. Elliptic Ruijsenaars–Schneider and Calogero–Moser Hierarchies are Governed by the Same r–Matrix, Preprinthep–th/96030118 HOU B Y, YANG W L. The Dynamical Twisting and Nondynamic r–Matrix Structure for the Elliptic Rujisenaars–Schneider Model, Preprint Math. QA/9802104 9 Babelon O, Viallet C M. Phys. Lett., 1989, B237:411 10 Suris Y B. Why are the Rational and Hyperhalic Ruijsenaars–Schneider Hierarchies Governed by the Same R–Operators as the Calogero–Moser Ones, Preprint hep–th/9602160

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WANG MeiXu, YANG WenLi and HOU BoYu. Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones[J]. Chinese Physics C, 2000, 24(4): 300-305.

WANG MeiXu, YANG WenLi and HOU BoYu. Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones[J]. Chinese Physics C, 2000, 24(4): 300-305. shu

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Received: 1999-02-24
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones

Corresponding author: WANG MeiXu,

Institute of Modern Physics, Northwest University, Xi' an 710069, China

Received Date: 1999-02-24
Accepted Date: 1900-01-01
Available Online: 2000-04-05

Abstract: We gave a new Lax representation of rational Ruijsenaars-Schneider models(n=2) which is governed by the same r-matrix as in Calogero-Moser model,and found that the corresponding r-matrix is non-dynamical.