| 完整系统Appell方程Mei对称性的共形不变性与守恒量 |
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| 引用本文： | 韩月林,孙现亭,张耀宇,贾利群.完整系统Appell方程Mei对称性的共形不变性与守恒量[J].物理学报,2013,62(16):160201-160201. |
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| 作者姓名： | 韩月林 孙现亭 张耀宇 贾利群 |
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| 作者单位： | 1. 江南大学理学院, 无锡 214122;2. 平顶山学院电气信息工程学院, 平顶山 467002 |
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| 基金项目： | 国家自然科学基金，江苏省普通高校研究生科研创新计划(批准号:CXLX120720)资助的课题.*Project supported by the National Natural Science Foundation of China，the Scientific Research and Innovation Plan for College Graduates of Jiangsu Province |
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| 摘 要： | 研究完整系统Appell方程Mei对称性的共形不变性与守恒量. 引入无限小单参数变换群及其生成元向量, 定义完整系统动力学方程的Mei对称性和共形不变性, 给出该系统Mei对称性共形不变性的确定方程. 利用规范函数满足的结构方程导出系统相应的Mei守恒量. 举例说明结果的应用.
关键词：
Appell方程
Mei对称性
共形不变性
Mei守恒量
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| 关 键 词： | Appell方程 Mei对称性 共形不变性 Mei守恒量 |
| 收稿时间： | 2013-04-10 |
Conformal invariance and conserved quantity of Mei symmetry for Appell equations in holonomic system* |
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| Han Yue-Lin
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Sun Xian-Ting
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Zhang Yao-Yu
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Jia Li-Qun.Conformal invariance and conserved quantity of Mei symmetry for Appell equations in holonomic system*[J].Acta Physica Sinica,2013,62(16):160201-160201. |
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| Authors: | Han Yue-Lin Sun Xian-Ting Zhang Yao-Yu Jia Li-Qun |
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| Abstract: | For a holonomic system, the conformal invariance and conserved quantity of Mei symmetry for Appell equations are studied. Firstly, by the infinitesimal one-parameter transformation group and the infinitesimal generator vector, we define Mei symmetry and conformal invariance of differential equations of motion for holonomic system, and the determining equation of Mei symmetry and conformal invariance for holonomic system are given. Then, taking advantage of a structure equation that gauge function satisfies, the system corresponding Mei conserved quantity is derived. Finally, an example is given to illustrate the application of the result.
Keywords：
Appell equation
Mei symmetry
conformal invariance
Mei conserved quantity |
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| Keywords: | Appell equation Mei symmetry conformal invariance Mei conserved quantity |
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