Integrability of Liouville System on High Genus Riemannian Surface I. Classical Case

Chen YLxin; Gao Hongbo

Chinese Physics C> 1992, Vol. 16> Issue(S2) : 141-153

Integrability of Liouville System on High Genus Riemannian Surface I. Classical Case

Chen YLxin ,
Gao Hongbo

Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, Zhejiang, China

Abstract
HTML
Reference
Related

PDF

Abstract：
By using the theory of uniformization of Riemannian surface, we study the properties of the Liouville equation and its general solution on a Riemannian surface of genus g>1. After obtaining Hamiltonian formalism in terms of free fields and calculating classical exchange matrices, we prove the classical integrability of Liouville system on high genus Riemannian surface.

[1]	Yun-Guo Jiang , Jia-Zhen Liu , Song He . Near integrability of kink lattice with higher order interactions. Chinese Physics C, 2017, 41(11): 113107. doi: 10.1088/1674-1137/41/11/113107
[2]	Ji-Feng Chen , Ke-Zhu Song , Jia-Cheng Liu . Dedicated 4πβ (LS)-γ (HPGe) digital coincidence system based on synchronous high-speed multichannel data acquisition. Chinese Physics C, 2016, 40(3): 036101. doi: 10.1088/1674-1137/40/3/036101
[3]	Xiao-Yue Gu , Wei Zhou , Lin Li , Long Wei , Peng-Fei Yin , Lei-Min Shang , Ming-Kai Yun , Zhen-Rui Lu , Xian-Chao Huang . High resolution image reconstruction method for a double-plane PET system with changeable spacing. Chinese Physics C, 2016, 40(5): 058201. doi: 10.1088/1674-1137/40/5/058201
[4]	Ming Chen , Yong-Chang Huang . Thermodynamic surface system of static black holes and area law. Chinese Physics C, 2016, 40(11): 113101. doi: 10.1088/1674-1137/40/11/113101
[5]	LIN Ye , FANG Fang , REN Jia-Fu , HE Lin-Feng , TANG Fang-Dong , XU Yi-He , DING Wei-Cheng . A measurement system for alpha and beta surface emissionrate using MWPC. Chinese Physics C, 2015, 39(5): 056001. doi: 10.1088/1674-1137/39/5/056001
[6]	CHENG Xiao-Lei , OUYANG Xiao-Ping , LIU Fang . A digital transmission system for high intensity pulsed radial detection. Chinese Physics C, 2013, 37(1): 016102. doi: 10.1088/1674-1137/37/1/016102
[7]	YANG Min , CHEN Hao , MENG Fan-Yong , WEI Dong-Bo . Novel correction method for X-ray beam energy fluctuation of high energy DR system with a linear detector. Chinese Physics C, 2011, 35(11): 1074-1078. doi: 10.1088/1674-1137/35/11/018
[8]	XIAO Chen , HE Yuan , LIU Yong , YUAN You-Jin , WANG Zhi-Jun , HE Shou-Bo , XU Meng-Xin , LI Chao , YUE Wei-Ming , CHANG Wei , ZHAO Hong-Wei , XIA Jia-Wen . Preliminary design and simulation of a 162.5 MHz high- intensity proton RFQ for an accelerator driven system. Chinese Physics C, 2011, 35(11): 1053-1058. doi: 10.1088/1674-1137/35/11/014
[9]	WANG Jing-Hui , ZHU Kun , ZHAO Wei-Jiang , LIU Ke-Xin . Theoretical analysis of a new extraction system for a DUHOCAMIS operating in a high magnetic field. Chinese Physics C, 2010, 34(11): 1738-1741. doi: 10.1088/1674-1137/34/11/014
[10]	YUE Qian , LI Yuan-Jing , YE Jin , CHENG Jian-Ping , WANG Yi , LI Jin , WU Yu-Cheng . Measurement of avalanche size and position resolution of RPCs with different surface resistivities of the high voltage provider. Chinese Physics C, 2010, 34(5): 565-570. doi: 10.1088/1674-1137/34/5/010
[11]	WANG Nan , ZHOU Shan-Gui , ZHAO En-Guang . Influence of octupole deformation and orientation on the potential energy surface in the di-nuclear system model. Chinese Physics C, 2010, 34(10): 1615-1621. doi: 10.1088/1674-1137/34/10/012
[12]	XU Mei-Hang , CHEN Chang , CHEN Yuan-Bo , WU Zhi , QIN Zhong-Hua , WU Ling-Hui , LIU Jian-Bei , WANG Lan , JIN Yan , LIU Rong-Guang , ZHU Qi-Ming , ZHANG Jian , HUANG Jie . Installation and cosmic ray test of the high voltage system of the BESⅢ drift chamber. Chinese Physics C, 2008, 32(12): 992-994. doi: 10.1088/1674-1137/32/12/010
[13]	YANG ZhanYing , ZHAO Liu , ZHEN Yi . Exact Solution of Super Liouville Model. Chinese Physics C, 2000, 24(2): 91-97.
[14]	Zhang Fengshou , Ge Lingxiao . Static Theory for Nuclear Multifragmentation I. Phase Transition and Multifragmentation. Chinese Physics C, 1997, 21(S2): 63-72.
[15]	Guo Zhongyan , Zhan Wenlong , Xi Hongfei , Zhou Jianqun , Zhao Youxiong , Feng Enpu , Wang Jinchuan , Luo Yongfeng , Lei Huaihong . High-Performance Detector System of TR4 Sit at HIRFL. Chinese Physics C, 1995, 19(S4): 333-340.
[16]	Li Fubin . A Study on the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equation System. Chinese Physics C, 1992, 16(S2): 155-161.
[17]	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.
[18]	WANG Zhong-Hua , WU Ke , GUO Han-Ying . The Cocycle Condition of Liouville Theory and Its Application to the 2-D Induced Gravity(Ⅰ). Chinese Physics C, 1991, 15(9): 784-796.
[19]	YAN Jun , HU Shi-Ke . The World Sheet Soliton and free energy on High Genus Riemann Surface. Chinese Physics C, 1991, 15(5): 414-419.
[20]	Jiang Huanqing , Li Yangguo . Surface Production of η Particles in π-A Collisions. Chinese Physics C, 1988, 12(S4): 387-392.

Access

Get Citation

Chen YLxin and Gao Hongbo. Integrability of Liouville System on High Genus Riemannian Surface I. Classical Case[J]. Chinese Physics C, 1992, 16(S2): 141-153.

Chen YLxin and Gao Hongbo. Integrability of Liouville System on High Genus Riemannian Surface I. Classical Case[J]. Chinese Physics C, 1992, 16(S2): 141-153. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1991-04-19

Article Metric

Article Views(445)
PDF Downloads(3)
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

Integrability of Liouville System on High Genus Riemannian Surface I. Classical Case

Chen YLxin
Gao Hongbo

Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, Zhejiang, China

Received Date: 1991-04-19

Abstract: By using the theory of uniformization of Riemannian surface, we study the properties of the Liouville equation and its general solution on a Riemannian surface of genus g>1. After obtaining Hamiltonian formalism in terms of free fields and calculating classical exchange matrices, we prove the classical integrability of Liouville system on high genus Riemannian surface.