A Study on Infinite Number of Integrals of Motion ClassicallyIntegrable System With Boundary (Ⅰ)

Chen Yixin; Luo Xudong

Chinese Physics C> 1998, Vol. 22> Issue(5) : 413-423

A Study on Infinite Number of Integrals of Motion ClassicallyIntegrable System With Boundary (Ⅰ)

Chen Yixin ^, ,
Luo Xudong

Zhejiang Institutte of Modern Physics and Department of Physics, Zhejiang University Hangzhou 310027

Abstract
HTML
Reference
Related

PDF

Abstract：
By the zero curvature condition in classically integrable system, the generating funtions for integrals of motion and equations for solving K± matices are obtained in two-dimensional integrable systems on a finite intervel with independent boundary conditions on each end. Classically integrable boundary conditions will be found by solving K± matrices. In this paper, we develop a Hamiltonian method in classically integrable system with independent boundary conditions on eath end. Our result can be applied to more integrable systems than those associated with E.K. Sklyanin's approach.

References

[1]

Binder.in Phase Transitions and Critical Phenomena Vo1.8, eds. Domb C, Lebowitz J. Academic Publisher,1983[2] Candy J. Nucl. Phys., 1989, B324:581-596; Candy J, Lewellen D. Phys. Lett., 1991, B259:274-278[3] Witten E. Phys. Rev., 1992, D46:5469-5473[4] Ghoshal S, Zamolodchikov A B. Int. J. Mod. Phys., 1994, A9:3841-3885[5] Faddeev L D, Takhtajan A B. llamiltonian Methods in the Theory of Soliton. Springer Verlag, 1987[6] Cherdnik I V. Theor. Mat. Fiz., 1984. 61:977-983[7] Sklyanin E K. Funct. Anal. Appl., 1987, 21:164-166; J. Phys., 1988, A21:2375-2389[8] Bowcock P, Corrigan E, Dorey P E, Rie哟k R H Nucl. Phys., 1995, B445:469-500

[1]	GUO Yun-Jun , HE Kang-Lin . Muon Identification Using the Efficiencies Ratio Method at BESⅡ. Chinese Physics C, 2007, 31(11): 1050-1055.
[2]	HUANG Wen-Xue , WANG Yue , ZHU Zhi-Chao , TIAN Yu-Lin , XU Hu-Shan , SUN Zhi-Yu , XIAO Guo-Qing , ZHAN Wen-Long . Experimental Study of the High-Voltage Breakdown and Simulations for the RFQ Cooler and Buncher RFQ1L. Chinese Physics C, 2006, 30(S2): 261-264.
[3]	LIU Chang-Long , LU Yi-Ying , YIN LI . Effects of Additional Vacancy-Like Defects Produced by Ion Impealations on Boron Thermal Diffusion in Silicon. Chinese Physics C, 2005, 29(11): 1107-1111.
[4]	LI Ming-Liang , ZHU Sheng-Jiang , CHE Xing-Lai , YU Ying-Nan . Research on Two-Quasiparticle Bands in ⁹⁸Sr. Chinese Physics C, 2004, 28(S1): 75-77.
[5]	PENG Quan-Ling , SUN Jian , ZHAO Guang-Yuan , SHI Cai-Tu . Principle and Software Design of Helmhotz Coil Measurement System. Chinese Physics C, 2001, 25(9): 920-925.
[6]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[7]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[8]	Xu Jianming . Matching Problem of Lattice with Transverse Coupling. Chinese Physics C, 1995, 19(1): 73-81.
[9]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.
[10]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.

Access

Get Citation

Chen Yixin and Luo Xudong. A Study on Infinite Number of Integrals of Motion ClassicallyIntegrable System With Boundary (Ⅰ)[J]. Chinese Physics C, 1998, 22(5): 413-423.

Chen Yixin and Luo Xudong. A Study on Infinite Number of Integrals of Motion ClassicallyIntegrable System With Boundary (Ⅰ)[J]. Chinese Physics C, 1998, 22(5): 413-423. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(3695)
PDF Downloads(484)
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

A Study on Infinite Number of Integrals of Motion ClassicallyIntegrable System With Boundary (Ⅰ)

Chen Yixin ^,
Luo Xudong

Corresponding author: Chen Yixin,

Zhejiang Institutte of Modern Physics and Department of Physics, Zhejiang University Hangzhou 310027

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1998-05-05

Abstract: By the zero curvature condition in classically integrable system, the generating funtions for integrals of motion and equations for solving K± matices are obtained in two-dimensional integrable systems on a finite intervel with independent boundary conditions on each end. Classically integrable boundary conditions will be found by solving K± matrices. In this paper, we develop a Hamiltonian method in classically integrable system with independent boundary conditions on eath end. Our result can be applied to more integrable systems than those associated with E.K. Sklyanin's approach.