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

Chen Yixin; Luo Xudong

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> 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]	CHEN Yu , JIA Quan-Jie , LI Gang , WANG Yu-Zhu , XUE Xian-Ying , JIANG Xiao-Ming , CHEN Zhi-Hua , PAN Lin , LI Hong-Yan . Refraction Angle and Edge Visibility in X-Ray Diffraction Enhanced Imaging. Chinese Physics C, 2007, 31(10): 982-989.
[2]	WU Gang , LU Hui-Hua . Motion of the Reference Particle in an Alpha Magnet. Chinese Physics C, 2006, 30(S1): 49-50.
[3]	MO Xiao-Hu . Correlation in Estimation of the Q Value. Chinese Physics C, 2005, 29(9): 831-837.
[4]	WANG Zhi-Yong , YUAN Chang-Zheng , HUANG Guang-Shun , CHENG Bao-Sen , QI Xiang-Rong , CHEN Guang-Pei , CHEN Jiang-Chuan , HU Hai-Ming , HU Tao , Li Jin , MAO Ze-Pu , XUE Sheng-Tian , ZHOU Li , ZHAO Zheng-Guo . Measurement of Integrated Luminosity in R Scan. Chinese Physics C, 2001, 25(2): 89-94.
[5]	SONG Jian-Jun , LI Xi-Guo , LIU Fang , LI Shu-Wei . Periodic Orbits and Trace Formula-Integrable Systems. Chinese Physics C, 2001, 25(9): 872-876.
[6]	GUO JianYou , RUAN TuNan , XU FuXin . Collective Motion of a pure Octupole Deformed System. Chinese Physics C, 2000, 24(12): 1194-1198.
[7]	GUO JianYou , RUAN TuNan , XU FuXin . Collective Motion in System with General Multipolar-Deformations. Chinese Physics C, 2000, 24(8): 780-786.
[8]	Huang Zhibin , Chen Yinbao . Simulation of Halo Formation in Breathing Round Beams in a Uniform or Periodic Focusing Channel. Chinese Physics C, 1998, 22(10): 943-950.
[9]	Chen Yixin , Luo Xudong . Infinite Number of Integrals of Motion in Classically Integrable System With Boundary (Ⅱ). Chinese Physics C, 1998, 22(6): 507-521.
[10]	Li Ziping . Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian. Chinese Physics C, 1997, 21(1): 34-43.
[11]	Yue Ruihong , Liang Hong . Integrability and Boundary Conditions of Supersymmetric Systems. Chinese Physics C, 1996, 20(6): 514-521.
[12]	Zhang Jingye . Some Collective Observables in Nuclear Motion. Chinese Physics C, 1994, 18(12): 1119-1123.
[13]	ZHANG Bang-Gu . The Motion of an Isolated Gas Group in Expanding Universe. Chinese Physics C, 1993, 17(9): 803-806.
[14]	CHEN Yi-Xin , GAO Hong-Bo . Integrability of Liouville System on High Genus Riemann Surface.Ⅰ. Classical Case. Chinese Physics C, 1992, 16(4): 323-334.
[15]	LI Fu-Bin . Description of the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equations System and Further Discussions. Chinese Physics C, 1992, 16(5): 408-413.
[16]	HAO San-Ru , LI Wei . INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL. Chinese Physics C, 1989, 13(4): 320-327.
[17]	MA Bo-Qiang , SUN Ji . RESEARCHES ON THE KINEMATICS MODIFICATION OF THE IMPULSE APPROXIMATION. Chinese Physics C, 1987, 11(3): 430-432.
[18]	MA Qian-Cheng , RUAN Tu-Nan . PATH INTEGRAL OF A SYMMETRY SYSTEM WITH CONSTRAINTS. Chinese Physics C, 1985, 9(2): 168-173.
[19]	LUO ZI-HUA , LUO YING-XIONG , WANG LIN-LIN . STUDY OF THE BEAM TRAMSVERSE MOTION IN THE RFQ STRUCTURE. Chinese Physics C, 1982, 6(6): 688-696.
[20]	Tu Tung-sheng , Ruan Tu-nan . VARIOUS EXPRESSIONS FOR THE FIELD STRENGTHS OF A MONOPOLE WITH DIFFERENT VELOCITIES AND THE INTEGRAL FORM OF THE POTENTIAL OF A MONOPOLE. Chinese Physics C, 1978, 2(1): 49-60.

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(2841)
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, [email protected]

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.