Study on generalized Toda mechanics system with loop algebra L(D-r)

	Study on generalized Toda mechanics system with loop algebra L(D-r)
	Zhu, Q; Yang, ZY; Shi, KH
刊名	HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION
	2005
卷号	29 页码:19-22
关键词	Toda many body mechanics system Lax Pair equation of motion Poisson bracket
ISSN号	0254-3052
英文摘要	In this paper, we generalize the Toda mechanics system with long range interaction to the case of Loop algebra L (D-t). By using a pair of ordered positive integer ( X, Y) to describe Toda chains, we extract the equation of motion and the,Hamiltonian structure of this system for (3 2) Toda chain. It turns out that both extra coordinates and standard Toda variables are Poisson non-commutative in the case of nontrivial generalization, and for some case, extra variables appear linearly on the right hand side of the Poisson bracket.
WOS关键词	INTEGRABLE SYSTEMS ; SOLITONS
WOS研究方向	Physics
语种	英语
出版者	SCIENCE CHINA PRESS
WOS记录号	WOS:000226353500005
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/25346]
专题	中国科学院近代物理研究所
通讯作者	Zhu, Q
作者单位	NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Q,Yang, ZY,Shi, KH. Study on generalized Toda mechanics system with loop algebra L(D-r)[J]. HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION,2005,29:19-22.
APA	Zhu, Q,Yang, ZY,&Shi, KH.(2005).Study on generalized Toda mechanics system with loop algebra L(D-r).HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION,29,19-22.
MLA	Zhu, Q,et al."Study on generalized Toda mechanics system with loop algebra L(D-r)".HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION 29(2005):19-22.