On the orbits of magnetized Kepler problems in dimension 2k+1
文献类型：期刊论文
| 作者 | Bai, Zhanqiang1; Meng, Guowu1; Wang, Erxiao2 |
| 刊名 | JOURNAL OF GEOMETRY AND PHYSICS
 |
| 出版日期 | 2013-11-01 |
| 卷号 | 73页码:260-269 |
| 关键词 | MICZ-Kepler orbit Lorentz group Angular momentum Lenz vector |
| 英文摘要 | 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. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Physics, Mathematical |
| 研究领域[WOS] | Mathematics ; Physics |
| 关键词[WOS] | YANG-MILLS FIELD ; GEOMETRIC-QUANTIZATION ; CLASSICAL PARTICLE ; PHASE-SPACE ; MONOPOLE ; DIRAC |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000324223500019 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/964]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, Zhanqiang,Meng, Guowu,Wang, Erxiao. On the orbits of magnetized Kepler problems in dimension 2k+1[J]. JOURNAL OF GEOMETRY AND PHYSICS,2013,73:260-269. |
| APA | Bai, Zhanqiang,Meng, Guowu,&Wang, Erxiao.(2013).On the orbits of magnetized Kepler problems in dimension 2k+1.JOURNAL OF GEOMETRY AND PHYSICS,73,260-269. |
| MLA | Bai, Zhanqiang,et al."On the orbits of magnetized Kepler problems in dimension 2k+1".JOURNAL OF GEOMETRY AND PHYSICS 73(2013):260-269. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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