Conformal killing tensors and covariant Hamiltonian dynamics
文献类型：期刊论文
| 作者 | Cariglia, M ; Gibbons, GW ; van Holten, JW ; Horvathy, PA ; Zhang, PM |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2014 |
| 卷号 | 55期号:12页码:122702 |
| 关键词 | PERTURBED HYDROGEN-ATOM DER-WAALS INTERACTION HENON-HEILES SYSTEM VARIABLE-SEPARATION PAINLEVE PROPERTY JACOBI EQUATION QUANTUM DOTS SYMMETRY INTEGRALS MOTION |
| ISSN号 | 0022-2488 |
| 通讯作者 | Cariglia, M (reprint author), Univ Fed Ouro Preto, DEFIS, Campus Morro Cruzeiro, BR-35400000 Ouro Preto, MG, Brazil. |
| 英文摘要 | A covariant algorithm for deriving the conserved quantities for natural Hamiltonian systems is combined with the non-relativistic framework of Eisenhart, and of Duval, in which the classical trajectories arise as geodesics in a higher dimensional space-time, realized by Brinkmann manifolds. Conserved quantities which are polynomial in the momenta can be built using time-dependent conformal Killing tensors with flux. The latter are associated with terms proportional to the Hamiltonian in the lower dimensional theory and with spectrum generating algebras for higher dimensional quantities of order 1 and 2 in the momenta. Illustrations of the general theory include the Runge-Lenz vector for planetary motion with a time-dependent gravitational constant G(t), motion in a time-dependent electromagnetic field of a certain form, quantum dots, the Henon-Heiles and Holt systems, respectively, providing us with Killing tensors of rank that ranges from one to six. (C) 2014 AIP Publishing LLC. |
| 学科主题 | Physics |
| 收录类别 | SCI |
| 资助信息 | National Natural Science Foundation of China [11035006, 11175215]; Chinese Academy of Sciences [2010TIJ06] |
| 原文出处 | http://dx.doi.org/10.1063/1.4902933 |
| 语种 | 英语 |
| WOS记录号 | WOS:000347168000028 |
| 公开日期 | 2015-06-03 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/15555]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 推荐引用方式 GB/T 7714 | Cariglia, M,Gibbons, GW,van Holten, JW,et al. Conformal killing tensors and covariant Hamiltonian dynamics[J]. JOURNAL OF MATHEMATICAL PHYSICS,2014,55(12):122702. |
| APA | Cariglia, M,Gibbons, GW,van Holten, JW,Horvathy, PA,&Zhang, PM.(2014).Conformal killing tensors and covariant Hamiltonian dynamics.JOURNAL OF MATHEMATICAL PHYSICS,55(12),122702. |
| MLA | Cariglia, M,et al."Conformal killing tensors and covariant Hamiltonian dynamics".JOURNAL OF MATHEMATICAL PHYSICS 55.12(2014):122702. |
入库方式： OAI收割
来源：理论物理研究所
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