Conformal killing tensors and covariant Hamiltonian dynamics
文献类型：期刊论文
| 作者 | Cariglia, M.1; Gibbons, G. W.2,3,4,5; van Holten, J. -W.6,7; Horvathy, P. A.5,8; Zhang, P. -M.5,8,9 |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2014-12-01 |
| 卷号 | 55 |
| ISSN号 | 0022-2488 |
| DOI | 10.1063/1.4902933 |
| 文献子类 | Article |
| 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. |
| WOS关键词 | PERTURBED HYDROGEN-ATOM ; DER-WAALS INTERACTION ; HENON-HEILES SYSTEM ; VARIABLE-SEPARATION ; PAINLEVE PROPERTY ; JACOBI EQUATION ; QUANTUM DOTS ; SYMMETRY ; INTEGRALS ; MOTION |
| 资助项目 | Science and Technology Facilities Council[ST/L000636/1] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000347168000028 |
| 出版者 | AMER INST PHYSICS |
| 源URL | [http://119.78.100.186/handle/113462/49671]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Cariglia, M. |
| 作者单位 | 1.Univ Fed Ouro Preto, DEFIS, BR-35400000 Ouro Preto, MG, Brazil 2.Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England 3.Loire Valley Inst Adv Studies, LE STUDIUM, Tours, France 4.Loire Valley Inst Adv Studies, LE STUDIUM, Orleans, France 5.Univ Tours, Lab Math & Phys Theor, Tours, France 6.NIKHEF, Amsterdam, Netherlands 7.Leiden Univ, Leiden, Netherlands 8.Chinese Acad Sci, Inst Modern Phys, Lanzhou, Peoples R China 9.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cariglia, M.,Gibbons, G. W.,van Holten, J. -W.,et al. Conformal killing tensors and covariant Hamiltonian dynamics[J]. JOURNAL OF MATHEMATICAL PHYSICS,2014,55. |
| APA | Cariglia, M.,Gibbons, G. W.,van Holten, J. -W.,Horvathy, P. A.,&Zhang, P. -M..(2014).Conformal killing tensors and covariant Hamiltonian dynamics.JOURNAL OF MATHEMATICAL PHYSICS,55. |
| MLA | Cariglia, M.,et al."Conformal killing tensors and covariant Hamiltonian dynamics".JOURNAL OF MATHEMATICAL PHYSICS 55(2014). |
入库方式： OAI收割
来源：近代物理研究所
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