On the orbits of magnetized Kepler problems in dimension 2k+1

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	On the orbits of magnetized Kepler problems in dimension 2k+1
	Bai, ZQ ; Meng, GW ; Wang, EX
刊名	JOURNAL OF GEOMETRY AND PHYSICS
	2013
卷号	73 页码:260
关键词	MICZ-Kepler orbit Lorentz group Angular momentum Lenz vector
ISSN号	0393-0440
通讯作者	Wang, EX (reprint author), Chinese Acad Sci, Wuhan Inst Phys & Math, Beijing 100864, Peoples R China.
中文摘要	It is demonstrated that, for the recently introduced classical magnetized Kepler problems in dimension 2k+1, the non-colliding orbits in the "external configuration space" R2k+1 backslash{0} are all conics; moreover, a conic orbit is an ellipse, a parabola, or a branch of a hyperbola according as the total energy is negative, zero, or positive. It is also demonstrated that the Lie group SO+ (1, 2k + 1) x R+ acts transitively on both the set of oriented elliptic orbits and the set of oriented parabolic orbits. (C) 2013 Elsevier B.V. All rights reserved.
资助信息	Hong Kong Research Grants Council under RGC [603110]; Hong Kong University of Science and Technology [DAG S09/10.SC02]; NSF of China [10941002, 11001262]; Starting Fund for Distinguished Young Scholars of Wuhan Institute of Physics and Mathematics [O9S6031001]
语种	英语
公开日期	2014-01-16
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/57284]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	Bai, ZQ,Meng, GW,Wang, EX. On the orbits of magnetized Kepler problems in dimension 2k+1[J]. JOURNAL OF GEOMETRY AND PHYSICS,2013,73:260.
APA	Bai, ZQ,Meng, GW,&Wang, EX.(2013).On the orbits of magnetized Kepler problems in dimension 2k+1.JOURNAL OF GEOMETRY AND PHYSICS,73,260.
MLA	Bai, ZQ,et al."On the orbits of magnetized Kepler problems in dimension 2k+1".JOURNAL OF GEOMETRY AND PHYSICS 73(2013):260.