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

Zhen Yi; Yang Wenli; Hou Boyu; Chen Kai

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

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

Abstract
HTML
Reference
Related

PDF

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

[1]

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

[1]	TIAN Jun-Long , WU Xi-Zhen , LI Zhu-Xia , WANG Ning , LIU Fu-Hu . Study on Fusion Potential Barrier in Heavy Ion Reactions Based on the Dynamical Model. Chinese Physics C, 2004, 28(7): 725-732.
[2]	ZHAO Xi , HUANG BangRong , ZHAO ShuSong . Dynamical Structure of Hadron Emission Sources. Chinese Physics C, 2000, 24(11): 1011-1017.
[3]	WANG MeiXu , YANG WenLi , HOU BoYu . Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones. Chinese Physics C, 2000, 24(4): 300-305.
[4]	WANG Shu-Hong . RFQ's Beam Dynamics and RF Structure. Chinese Physics C, 1993, 17(4): 310-321.
[5]	WANG En-Ke , LI Jia-Rong . The Equation of State and Phase Structure in A Model with Dynamical Spontaneous Symmetry Breaking at Finite Temperature and Density. Chinese Physics C, 1992, 16(4): 344-351.
[6]	LI Xun-Gui . Three-body Dynamics of the Hypernucleus ⁹Be. Chinese Physics C, 1991, 15(4): 316-321.
[7]	BIAN Jian-Guo . Non-Perturbative Propagators in QCD. Chinese Physics C, 1991, 15(11): 973-980.
[8]	KONG Fan-Xin , LUO Bin , LIU Xian-Hui . Dynamical Structure of A≤4 Λ Hypernuclei. Chinese Physics C, 1991, 15(6): 524-534.
[9]	CHEN Tian-Lun , SUO Cun-Chuan , HUANG Wu-Qun . β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1990, 14(8): 700-703.
[10]	SONG Zhong-Heng , WANG Xiao-Min . THREE-DIMENSIONAL DYNAMIC CALCULATION OF CHARGE DISC WITH VARIABLE RADIUS OF ELECTRON LINAC. Chinese Physics C, 1990, 14(1): 16-23.
[11]	CHEN Tian-Lun , HUANG Wu-Qun , JIN Ke , SUO Cun-Chuan . β FUNCTION FOR SU(2)×SU(2) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1989, 13(2): 188-192.
[12]	CHEN Tian-Lun , HUANG Wu-Qun , SHEN Qin-Wan . A MONTE CARLO RENORMALIZATION GROUP STUDY OF ISING MODEL ON THREE-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1988, 12(4): 573-576.
[13]	HUANG Wu-Qun , CHEN Tian-Lun , SHEN Qin-Wan , ZHONG Chao-Wu . A MONTE CARLO RENORMALIZATION GROUP STUDY OF ISING MODEL ON RANDOM TRIANGLE LATTICE. Chinese Physics C, 1987, 11(4): 563-566.
[14]	CHEN Tian-Lun , HUANG Wu-Qun . MONTE CARLO STUDY OF THE TRIANGLE LATTICE QUENCHED EGUCHI-KAWAI MODEL. Chinese Physics C, 1986, 10(2): 254-256.
[15]	CHEN Tian-Lun , HUANG Wu-Qun , ZHENG Xi-Te . MONTE CARLO STUDY OF THE TRIANGLE LATTICE GEUCHI-KAWAI MODEL. Chinese Physics C, 1985, 9(1): 41-45.
[16]	ZHU Wei , SHEN Jian-Guo . A DYNAMICAL MODEL FOR THE GLUON DISTRIBUTION FUNCTION. Chinese Physics C, 1983, 7(3): 316-322.
[17]	ZHONG Ji-Quan , GE Ling-Xiao , LIU Jian-Ye , YU Xian . A DYNAMICAL METHOD IN DEEP IN ELASTIC COLLISION OF HEAVY IONS. Chinese Physics C, 1983, 7(5): 598-604.
[18]	KUANG YU-PING , . SU(3) LEPTON MODEL AND THE DYNAMICAL GENERATION OF LEPTON MASS DIFFERENCES. Chinese Physics C, 1981, 5(1): 72-81.
[19]	Zhong Ji-quan . A CORRELATIVE TREATMENT OF DYNAMICS AND DIFFUSION EQUATIONS IN DEEP INELASTIC COLLISIONS. Chinese Physics C, 1980, 4(6): 744-751.
[20]	HUANG TAO , XUE PEI-YOU . THE INFRARED STRUCTURE AND THE ELECTROMAGNETIC FORM FACTORS OF QUANTUM CHROMODYNAMICS IN TWO DIMENSIONS. Chinese Physics C, 1979, 3(2): 188-202.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1998-07-15
Revised: 1900-01-01

Article Metric

Article Views(2738)
PDF Downloads(516)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.