|
|||||
|
|
| 准坐标下完整系统的精确不变量与绝热不变量 | |
| 引用本文： | 陈向炜,李彦敏. 准坐标下完整系统的精确不变量与绝热不变量[J]. 中国物理, 2005, 14(4): 663-668 |
| 作者姓名： | 陈向炜 李彦敏 |
| 作者单位： | Department of Physics, Shangqiu Teachers College, Shangqiu, 476000, China;Department of Physics, Shangqiu Teachers College, Shangqiu, 476000, China |
| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 10372053); the Natural Science Foundation of Henan Province, China(Grant No 0311010900), and the Foundation of Young Key Member of the Teachers in Institutions of Higher Learning of Henan Province, China. |
| 摘 要： | 基于对称性与不变量理论，研究了准坐标下完整系统的精确不变量与绝热不变量。研究了在小扰动作用下准坐标完整系统的对称性摄动。提出了高阶绝热不变量的概念，给出了精确不变量与绝热不变量存在的形式与条件。然后研究了相应的逆问题。 |
| 关 键 词： | 准坐标下完整系统；摄动；精确不变量；绝热不变量 |
| 收稿时间： | 2004-10-10 |
Exact invariants and adiabatic invariants of holonomic system in terms of quasi-coordinates |
|
| Chen Xiang-Wei and Li Yan-Min. Exact invariants and adiabatic invariants of holonomic system in terms of quasi-coordinates[J]. Chinese Physics, 2005, 14(4): 663-668 | |
| Authors: | Chen Xiang-Wei and Li Yan-Min |
| Affiliation: | Department of Physics, Shangqiu Teachers College, Shangqiu, 476000, China |
| Abstract: | Based on the theory of Lie symmetries and conserved quantities, the exact invariants and adiabatic invariants of holonomic system are studied in terms of quasi-coordinates. The perturbation to symmetries for the holonomic system in terms of quasi-coordinates under small excitation is discussed. The concept of high-order adiabatic invariant is presented, and the form of exact invariants and adiabatic invariants as well as the conditions for their existence are given. Then the corresponding inverse problem is studied. |
| Keywords: | holonomic system in terms of quasi-coordinates perturbation exact invariant adiabatic invariant |
| 本文献已被 维普 等数据库收录！ | |
| 点击此处可从《中国物理》浏览原始摘要信息 | |
| 点击此处可从《中国物理》下载免费的PDF全文 | |