Nondynamical r-Matrix Structure for the Trigonometric Calogero-Moser Model

Zhen Yi; Yang Wenli; Hou Boyu; Chen Kai

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2024年10月30日

Chinese Physics C> 1999, Vol. 23> Issue(9) : 854-858

Nondynamical r-Matrix Structure for the Trigonometric Calogero-Moser Model

Institute of Modern Physics, Northwest Universing ,Xi'an 710069

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Abstract：
In a certain gauge, we get a new Lax operator for trigonometric Calogero-Moser model. The conesponding r-matrix is shown to be nondynamical . Atthe same time, we find that trigonometric Calogero-Moser model and trigonometric Ruijsenaars -Schneider model are governed by the completely same nondynamical r-matrix.

References

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Antonov A, Hasegawa K Zabrodin A. Nucl. Phys, 1997, B503:7472 Awata H, Matsuo Y, Yamamoto T. J. Phys, 1996, A29:30893 Brink L et al. Nucl.Prorohys,1995,B401:5824 Camassa R, Holm D. Phys. Rev. Lett, 1993, 71: 16615 Caselle M Phys.Rev.Lett,1995,74:27766 Gorsky A, Nekrasov N. Nucl.Phys., 1994,B414:213;Nucl.Phys,1995,B436:5827 Hou B Y, Yang W L. The Nondynamical r–Matrix Structure of the Elliptic Calogero–Moser Model(n=2), (solv–int/9711008 to appar in Lett. Math.Phys.)8 Iso S, Rey S J. Phys. Lett, 1995, B352:1119 Marotta V, Sclarrino A. NucL Phys, 1996, B476:35110 Ruijsenaars S N M, Schneider H Ann. Phys., 1986, 170:370

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Zhen Yi, Yang Wenli, Hou Boyu and Chen Kai. Nondynamical r-Matrix Structure for the Trigonometric Calogero-Moser Model[J]. Chinese Physics C, 1999, 23(9): 854-858.

Zhen Yi, Yang Wenli, Hou Boyu and Chen Kai. Nondynamical r-Matrix Structure for the Trigonometric Calogero-Moser Model[J]. Chinese Physics C, 1999, 23(9): 854-858. shu

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Received: 1998-07-15
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

Nondynamical r-Matrix Structure for the Trigonometric Calogero-Moser Model

Corresponding author: Zhen Yi,

Institute of Modern Physics, Northwest Universing ,Xi'an 710069

Received Date: 1998-07-15
Accepted Date: 1900-01-01
Available Online: 1999-09-05

Abstract: In a certain gauge, we get a new Lax operator for trigonometric Calogero-Moser model. The conesponding r-matrix is shown to be nondynamical . Atthe same time, we find that trigonometric Calogero-Moser model and trigonometric Ruijsenaars -Schneider model are governed by the completely same nondynamical r-matrix.