| 三维各向同性谐振子的Lie对称性与守恒量 |
| |
| 引用本文： | 楼智美.三维各向同性谐振子的Lie对称性与守恒量[J].西南师范大学学报(自然科学版),2004,29(2):232-234. |
| |
| 作者姓名： | 楼智美 |
| |
| 作者单位： | 绍兴文理学院,物理系,浙江,绍兴,312000 |
| |
| 摘 要： | 从讨论完整保守力学系统微分方程的不变性 (即Lie对称性 )出发 ,得到其确定方程、结构方程及守恒量的形式 ,从而讨论三维各向同性谐振子的Lie对称性和相应的 10个Lie对称守恒量 .
|
| 关 键 词： | 各向同性谐振子 Lie对称 守恒量 |
| 文章编号： | 1000-5471(2004)02-0232-03 |
| 修稿时间： | 2003年9月18日 |
Lie Symmetries and Conserved Quantities of the Isotropic Three-Dimensional Harmonic Oscillator |
| |
| LOU Zhi-mei Dept. of Physics,Shaoxing College of Arts and Sciences,Shaoxing Zhejiang ,China.Lie Symmetries and Conserved Quantities of the Isotropic Three-Dimensional Harmonic Oscillator[J].Journal of Southwest China Normal University(Natural Science),2004,29(2):232-234. |
| |
| Authors: | LOU Zhi-mei Dept of Physics Shaoxing College of Arts and Sciences Shaoxing Zhejiang China |
| |
| Institution: | LOU Zhi-mei Dept. of Physics,Shaoxing College of Arts and Sciences,Shaoxing Zhejiang 312000,China |
| |
| Abstract: | The Lie symmetries of the holonomic conservative mechanical systems are firstly studied, and the determining equations, the structure equation and the form of conserved quantities are obtained. The Lie symmetries and the ten conserved quantities of the isotropic three-dimensional harmonic oscillator are studied. |
| |
| Keywords: | isotropic harmonic oscillator Lie symmetry conservation quantities |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《西南师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《西南师范大学学报(自然科学版)》下载免费的PDF全文 |
