Kohn's theorem and Newton-Hooke symmetry for Hill's equations

doi:10.1103/PhysRevD.85.045031

	Kohn's theorem and Newton-Hooke symmetry for Hill's equations
	Zhang, P. M.1; Gibbons, G. W.2; Horvathy, P. A.1,3
刊名	PHYSICAL REVIEW D
	2012-02-23
卷号	85
ISSN号	1550-7998
DOI	10.1103/PhysRevD.85.045031
文献子类	Article
英文摘要	Hill's equations, which first arose in the study of the Earth-Moon-Sun system, admit the two-parameter centrally extended Newton-Hooke symmetry without rotations. This symmetry allows us to extend Kohn's theorem about the center-of-mass decomposition. Particular light is shed on the problem using Duval's "Bargmann" framework. The separation of the center-of-mass motion into that of a guiding center and relative motion is derived by a generalized chiral decomposition.
资助项目	Chinese Academy of Sciences[2010TIJ06]
WOS关键词	NONCOMMUTATIVE LANDAU PROBLEM ; 3-BODY PROBLEM ; MECHANICS ; CLUSTERS ; DYNAMICS ; GEOMETRY ; WAVES
WOS研究方向	Astronomy & Astrophysics ; Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000300665200008
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/47815]
专题	中国科学院近代物理研究所
通讯作者	Zhang, P. M.
作者单位	1.Chinese Acad Sci, Inst Modern Phys, Lanzhou, Peoples R China 2.Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England 3.Univ Tours, Lab Math & Phys Theor, Tours, France
推荐引用方式 GB/T 7714	Zhang, P. M.,Gibbons, G. W.,Horvathy, P. A.. Kohn's theorem and Newton-Hooke symmetry for Hill's equations[J]. PHYSICAL REVIEW D,2012,85.
APA	Zhang, P. M.,Gibbons, G. W.,&Horvathy, P. A..(2012).Kohn's theorem and Newton-Hooke symmetry for Hill's equations.PHYSICAL REVIEW D,85.
MLA	Zhang, P. M.,et al."Kohn's theorem and Newton-Hooke symmetry for Hill's equations".PHYSICAL REVIEW D 85(2012).