Generalized Toda mechanics associated with classical Lie algebras D-r

	Generalized Toda mechanics associated with classical Lie algebras D-r
	Liu, WY; Yang, ZY; Zhao, L
刊名	HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION
	2004-04-01
卷号	28 页码:359-364
关键词	root system (Lie algebra) Toda chain Lax pair Poission brackets
ISSN号	0254-3052
英文摘要	In this paper, we construct the Lax pair of classical Lie algebra D-r according to the characteristic of its root system, and get a family of integrable generalizations of Toda mechanics (labeled by a pair of ordered integers ( m, n), M, n denote the order of positive and negative roots respectively). We also provide the explicit equations of motion, the Hamiltonian and the Poission brackets corresponding to the case of m, n less than or equal to 3.
WOS关键词	CALOGERO-SUTHERLAND MODELS ; INTEGRABLE SYSTEMS ; QUANTUM-MECHANICS ; BODY PROBLEMS ; FIELD-THEORY ; SOLITONS ; HIERARCHY ; SYMMETRY ; LATTICE
WOS研究方向	Physics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000220835300007
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/39478]
专题	中国科学院近代物理研究所
通讯作者	Liu, WY
作者单位	NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China
推荐引用方式 GB/T 7714	Liu, WY,Yang, ZY,Zhao, L. Generalized Toda mechanics associated with classical Lie algebras D-r[J]. HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION,2004,28:359-364.
APA	Liu, WY,Yang, ZY,&Zhao, L.(2004).Generalized Toda mechanics associated with classical Lie algebras D-r.HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION,28,359-364.
MLA	Liu, WY,et al."Generalized Toda mechanics associated with classical Lie algebras D-r".HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION 28(2004):359-364.