Shi Kangjie; Li Guangliang; Fan Heng; Hou Boyu

Chinese Physics C> 1998, Vol. 22> Issue(12) : 1100-1111

由因式化L算子所构成的经典可积动力学体系

Institute of Modern Physics. Northwest University. Xi' an 710069

Abstract
HTML
Reference
Related

PDF

Abstract：
An integrable model with non-period boundary condition is constructed by use of factorized L operator. Taking trigonometric limit and scalar limit to the transfer matrix, we obtain the classical Hamiltonian of the n dimentional system (n is odd number). The result shows that this integrable system is similar to those found by Calogero et al.

References

[1]

Moser J.Adv. Math, 1975, 16:1—23 [2] Calogero E. Lett. Nuovo Cim, 1975, 13:411─416 [3] Olshanetsky M A. Perelomov A M. Phys.Repts, 1981, 71:313—400 [4] Ruijsenaars S N M Schnelder H. Ann. Phys,1986, 170:370─405[5] Hasegawa K. Commun. Math Phys.,1997,187:289—325 [6] Antonov A. Hasegawa K, Zabrodin A. LPTHE 97─09 [7] Belavin A A. Nucl.Phys., 1980, B180: 109 [8] Hou B Y, Shi K J,Yang Z X.J. Phys.,1993, A26:4951 [9] Baxter R J. Exactly Solved Models in Statistical Mechanics,(Academic Dess 1982) [10] Yang C Y.Phys. Rev.Lett.,1967, 19:1312 [11] Sklyanin E K. J. Phys.,1988, A21:2375 [12] Cherednik I V.Theor. Math. Phys., 1983, 17:77;1984, 21:911[13] Fan R, Hou B Y, Shi K J et al. Phys, Lell.,1995, A200: 109[14] Hou B Y, Shi K J, Fan H et al. Comrnun. Theor Phys., 1995, 23: 163─166 [15] Jimbo M, Miwa T, Okado M. Nucl Phys.,1988, B300:74 [16] Bazhanov V V, Kashaev R M Mangazeev V V et al. Commun. Math Phys., 1991, 138:391[17] Quano Y H,INS–T–513, Proc. of the Workshop on New Aspects of Quantum Field Theories, ed. S. Nojiri,pp29—45 [18] Hasegawa K J. Math. Phys., 1994, 35:6158

[1]	JI Xiang-Dong , MA Jian-Ping , YUAN Feng . QCD Factorization for Semi-inclusive Deep-Inelastic Scattering at Low Transverse Momentum. Chinese Physics C, 2007, 31(9): 857-859.
[2]	GUO Feng-Kun , PING Rong-Gang , SHEN Peng-Nian , JIANG Huan-Qing , ZOU Bing-Song . S Wave Kπ Scattering and Dynamically Generated Scalar Resonances. Chinese Physics C, 2006, 30(11): 1062-1066.
[3]	BAO Jing-Dong . Simulating Methods in Nuclear Reaction Dynamics. Chinese Physics C, 2006, 30(S2): 24-28.
[4]	JIANG Yun-Guo , HUANG Yong-Chang . Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System. Chinese Physics C, 2006, 30(12): 1151-1155.
[5]	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.
[6]	WU Xi-Zhen , TIAN Jun-Long , WANG Ning , ZHAO Kai , LI Zhu-Xia . Microscopic Study on Dynamic Barrier in Fusion Reactions. Chinese Physics C, 2004, 28(12): 1317-1323.
[7]	YANG Jian-Cheng , XIA Jia-Wen , WU Jun-Xia , XIA Guo-Xing , LIU Wei , YIN Xue-Jun . Analytical Study of Dynamic Aperture for Storage Ring by Using Successive Linearization Method. Chinese Physics C, 2004, 28(1): 82-87.
[8]	ZHANG Ying-Xun , WU Xi-Zhen , LI Zhu-Xia . Dynamical Behaviors of Liquid-Gas Phase Transition in Nuclei. Chinese Physics C, 2002, 26(10): 1065-1071.
[9]	ZENG XiangHua , ZHANG FengShou , LUO YiXiao . Study on the Decay Dynamics of Hot Nuclei. Chinese Physics C, 2000, 24(6): 535-540.
[10]	Jiang Jinhuan , Li Ziping . Quantization of a Scalar QED With Chern-Simons Term in the Batalin-Fradkin-Vilkovisky Scheme. Chinese Physics C, 1999, 23(8): 784-789.
[11]	Liu Jianye , Zhang Shaoguang . Dynamical Study on Processes of Intermediate-Energy Heavy Ion Collisions. Chinese Physics C, 1995, 19(1): 53-58.
[12]	HU Zhan-Ning , HOU Bo-Yu . Factorizable S-Matrix and Symmetry Operator With Toroidal Rapidity Values. Chinese Physics C, 1992, 16(11): 978-990.
[13]	LI Xun-Gui . Three-body Dynamics of the Hypernucleus ⁹Be. Chinese Physics C, 1991, 15(4): 316-321.
[14]	KONG Fan-Xin , LUO Bin , LIU Xian-Hui . Dynamical Structure of A≤4 Λ Hypernuclei. Chinese Physics C, 1991, 15(6): 524-534.
[15]	ZHANG Feng-Shou , GE Ling-Xiao . HEAVY ION COLLISION DYNAMICS IN FERMI DOMAIN (I) DYNAMICS DEPENDENCE OF ENERGY. Chinese Physics C, 1990, 14(6): 561-568.
[16]	ZHANG Feng-Shou , GE Ling-Xiao . HEAVY ION COLLISION DYNAMICS IN FERMI DOMAIN (Ⅱ) DYNAMICS DEPENDENCE OF IMPACT PARAMETER. Chinese Physics C, 1990, 14(11): 1045-1050.
[17]	SHEN Wen-Qing , QIAO Wei-Min , GE Ling-Xiao , ZHAN Wen-Long , ZHU Yong-Tai . DYNAMICS OF DISSIPATION COLLISION FOR LIGHT SYSTEM. Chinese Physics C, 1988, 12(1): 102-108.
[18]	ZHU Wei , SHEN Jian-Guo . A DYNAMICAL MODEL FOR THE GLUON DISTRIBUTION FUNCTION. Chinese Physics C, 1983, 7(3): 316-322.
[19]	HE GUO-ZHU . NUCLEAR CHARGE DYNAMICS AND NUCLEAR POTENTIALS. Chinese Physics C, 1981, 5(2): 227-231.
[20]	KUANG YU-PING , YI YU-PING . DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1978, 2(6): 488-500.

Access

Get Citation

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1997-12-23
Revised: 1900-01-01

Article Metric

Article Views(3353)
PDF Downloads(539)
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

由因式化L算子所构成的经典可积动力学体系

Corresponding author: Shi Kangjie,

Institute of Modern Physics. Northwest University. Xi' an 710069

Received Date: 1997-12-23
Accepted Date: 1900-01-01
Available Online: 1998-12-05

Abstract: An integrable model with non-period boundary condition is constructed by use of factorized L operator. Taking trigonometric limit and scalar limit to the transfer matrix, we obtain the classical Hamiltonian of the n dimentional system (n is odd number). The result shows that this integrable system is similar to those found by Calogero et al.