| 机电动力系统的动量依赖对称性和非Noether守恒量 |
| |
| 引用本文： | 郑世旺,傅景礼,李显辉.机电动力系统的动量依赖对称性和非Noether守恒量[J].物理学报,2005,54(12):5511-5516. |
| |
| 作者姓名： | 郑世旺 傅景礼 李显辉 |
| |
| 作者单位： | (1)青岛大学物理系，青岛 266071; (2)商丘师范学院物理系，商丘 476000; (3)商丘师范学院物理系，商丘 476000;浙江理工大学物理系，杭州 310018;青岛大学物理系，青岛 266071 |
| |
| 基金项目： | 国家自然科学基金(批准号：10372053)和河南省自然科学基金(批准号：0311011400)资助的课题. |
| |
| 摘 要： | 研究了Lagrange-Maxwell机电动力系统的Hamilton正则方程及动量依赖对称性的定义、判据、结构方程和守恒量的形式.研究表明，结构方程中的函数ψ只需是对称群的不变量.得到求解机电动力系统守恒量的新方法，并给出了应用实例.
关键词：
机电动力系统
Lie群分析
对称性
守恒量
|
| 关 键 词： | 机电动力系统 Lie群分析 对称性 守恒量 |
| 文章编号： | 1000-3290/2005/54（12）/5511-06 |
| 收稿时间： | 12 10 2004 12:00AM |
| 修稿时间： | 2004-12-102005-06-27 |
Momentum-dependent symmetries and non-Noether conserved quantities for mechanico-electrical systems |
| |
| Zheng Shi-Wang,Fu Jing-Li,Li Xian-Hui.Momentum-dependent symmetries and non-Noether conserved quantities for mechanico-electrical systems[J].Acta Physica Sinica,2005,54(12):5511-5516. |
| |
| Authors: | Zheng Shi-Wang Fu Jing-Li Li Xian-Hui |
| |
| Institution: | 1.Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China; 2. Department of Physics, ZhejiaCtg University of Sciences, Hangzhou 310018, China; 3. Department of Physics, Qingdao University, Qingdao 266071, China |
| |
| Abstract: | The Hamiltonian canonical equation of the systems, the definition, criterion, structure equation and conserved quantities of momentum-dependent symmetries for Lagrange-Maxwell mechanico-electrical systems were presented. This work shows that the function ψ in the structure equation is only an invariant on the symmetry group. A new method to deduce conserved quantities of mechanico-electrical systems is obtained. An example is designed to illustrate these results. |
| |
| Keywords: | mechanico-electrical system Lie group analysis symmetry conserved |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《物理学报》浏览原始摘要信息 |
| 点击此处可从《物理学报》下载免费的PDF全文 |
