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| Cariglia, M; Gibbons, GW; van Holten, JW; Horvathy, PA; Zhang, PM; Cariglia, M (reprint author), Univ Fed Ouro Preto, DEFIS, Campus Morro Cruzeiro, BR-35400000 Ouro Preto, MG, Brazil. | |
| Conformal killing tensors and covariant Hamiltonian dynamics | |
| Source Publication | JOURNAL OF MATHEMATICAL PHYSICS
 |
| Language | 英语 |
| Keyword | Perturbed Hydrogen-atom Der-waals Interaction Henon-heiles System Variable-separation Painleve Property Jacobi Equation Quantum Dots Symmetry Integrals Motion |
| Abstract | 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. |
| 2014 | |
| ISSN | 0022-2488 |
| Volume | 55Issue:12Pages:122702 |
| Subject Area | Physics |
| DOI | 10.1063/1.4902933 |
| Indexed By | SCI |
| Funding Organization | National Natural Science Foundation of China [11035006, 11175215]; Chinese Academy of Sciences [2010TIJ06] ; National Natural Science Foundation of China [11035006, 11175215]; Chinese Academy of Sciences [2010TIJ06] ; National Natural Science Foundation of China [11035006, 11175215]; Chinese Academy of Sciences [2010TIJ06] ; National Natural Science Foundation of China [11035006, 11175215]; Chinese Academy of Sciences [2010TIJ06] |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/15555 |
| Collection | SCI期刊论文 |
| Corresponding Author | Cariglia, M (reprint author), Univ Fed Ouro Preto, DEFIS, Campus Morro Cruzeiro, BR-35400000 Ouro Preto, MG, Brazil. |
| Recommended Citation 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,&Cariglia, M .(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. |
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| File Name/Size | DocType | Version | Access | License | ||
| Conformal killing te（805KB） | 开放获取 | CC BY-NC-SA | Application Full Text | |||
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