| 完整系统Appell方程Lie对称性的共形不变性与Hojman守恒量 |
| |
| 引用本文： | 孙现亭,张耀宇,张芳,贾利群.完整系统Appell方程Lie对称性的共形不变性与Hojman守恒量[J].物理学报,2014,63(14):140201-140201. |
| |
| 作者姓名： | 孙现亭 张耀宇 张芳 贾利群 |
| |
| 作者单位： | 1. 平顶山学院电气信息工程学院, 平顶山 467002;2. 江南大学理学院, 无锡 214122 |
| |
| 基金项目： | 国家自然科学基金(批准号:11142014)资助的课题~~ |
| |
| 摘 要： | 研究完整系统Appell方程Lie对称性的共形不变性与Hojman守恒量.在时间不变的特殊无限小变换下,定义完整系统动力学方程的Lie对称性和共形不变性,给出该系统Lie对称性共形不变性的确定方程及系统的Hojman守恒量,并举例说明结果的应用.
|
| 关 键 词： | Appell方程 Lie对称性 共形不变性 Hojman守恒量 |
| 收稿时间： | 2014-02-25 |
Conformal invariance and Hojman conserved quantity of Lie symmetry for Appell equations in a holonomic system |
| |
| Sun Xian-Ting,Zhang Yao-Yu,Zhang Fang,Jia Li-Qun.Conformal invariance and Hojman conserved quantity of Lie symmetry for Appell equations in a holonomic system[J].Acta Physica Sinica,2014,63(14):140201-140201. |
| |
| Authors: | Sun Xian-Ting Zhang Yao-Yu Zhang Fang Jia Li-Qun |
| |
| Abstract: | The conformal invariance and Hojman conserved quantity of Lie symmetry for Appell equations in a holonomic system are studied. Under the special infinitesimal transformations in which the time is not variable, the Lie symmetry and conformal invariance of differential equations of motion for a holonomic system are defined, and the determining equations of the conformal invariance of Lie symmetry and the Hojman conserved quantity for the system are given. Finally, an example is presented to illustrate the application of the results.
Keywords：
Appell equation
Lie symmetry
conformal invariance
Hojman conserved quantity |
| |
| Keywords: | Appell equation Lie symmetry conformal invariance Hojman conserved quantity |
| 本文献已被 CNKI 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 |
