| Lagrange系统弱Noether对称性的摄动与绝热不变量 |
| |
| 引用本文： | 丁宁,方建会,陈相霞.Lagrange系统弱Noether对称性的摄动与绝热不变量[J].北京理工大学学报,2009,29(3):189-192. |
| |
| 作者姓名： | 丁宁 方建会 陈相霞 |
| |
| 作者单位： | 滨州学院,物理与电子科学系,山东,滨州,256600;中国石油大学(华东)物理科学与技术学院,山东,东营,257061;德州学院,山东,德州,253023 |
| |
| 基金项目： | 滨州学院青年人才创新工程资助项目，滨州学院试验技术项目 |
| |
| 摘 要： | 基于绝热不变量的概念, 研究Lagrange系统弱Noether对称性的摄动与绝热不变量. 给出了未受扰动系统的弱Noether对称性导致的精确不变量,讨论了受扰动后系统弱Noether对称性的摄动,并得到受扰动后系统的绝热不变量.
|
| 关 键 词： | 弱Noether对称性 摄动 绝热不变量 Lagrange系统 |
| 收稿时间： | 5/8/2008 12:00:00 AM |
Perturbation to Weak Noether Symmetry and Adiabatic Invariants for Lagrange Systems |
| |
| DING Ning,FANG Jian-hui and CHEN Xiang-xia.Perturbation to Weak Noether Symmetry and Adiabatic Invariants for Lagrange Systems[J].Journal of Beijing Institute of Technology(Natural Science Edition),2009,29(3):189-192. |
| |
| Authors: | DING Ning FANG Jian-hui and CHEN Xiang-xia |
| |
| Institution: | 1.Department of Physics and Electronics Science;Binzhou University;Binzhou;Shandong 256600;China;2.College of Physics Science and Technology;China University of Petroleum;Dongying;Shandong 257061;3.Dezhou University;Dezhou;Shandong 253023;China |
| |
| Abstract: | Based on the concept of adiabatic invariant,perturbations to weak Noether symmetry and adiabatic invariants for Lagrange systems are studied.The exact invariants of the symmetry for the system without perturbation are given.Perturbation to weakly Noether symmetry is discussed and the adiabatic invariants of the perturbed system are obtained. |
| |
| Keywords: | weakly Noether symmetry perturbation adiabatic invariant Lagrange system |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《北京理工大学学报》浏览原始摘要信息 |
| 点击此处可从《北京理工大学学报》下载免费的PDF全文 |
