On the orbits of magnetized Kepler problems in dimension 2k+1
文献类型：期刊论文
| 作者 | Bai, ZQ ; Meng, GW ; Wang, EX |
| 刊名 | JOURNAL OF GEOMETRY AND PHYSICS
 |
| 出版日期 | 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 |
| 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. |
入库方式： OAI收割
来源：物理研究所
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