物理学报Issue(13)：1-7,7.DOI:10.7498/aps.64.134501
相对运动完整系统App ell方程Mei对称性的共形不变性与守恒量∗
Conformal invariance and conserved quantity of Mei symmetry for App ell equation in a holonomic system in relative motion
摘要
Abstract
For a holonomic system in relative motion, the conformal invariance and the conserved quantity of Mei symmetry with Appell equations are investigated. First, by using the infinitesimal one-parameter transformation group and the infinitesimal generator vector, the definitions of Mei symmetry and the conformal invariance with Appell equations in a holonomic system in relative motion are given, and the determining equations of the conformal invariance of Mei symmetry for the system are derived. Relationship between the conformal invariance and Mei symmetry for the system is mainly studied. Then, by means of the structural equation which the gauge function satisfies, the expression of Mei conserved quantity deduced from Mei symmetry for the system is obtained. Finally, an example is given to illustrate the application of the result.关键词
相对运动/完整系统/Appell方程/共形不变性Key words
relative motion/holonomic system/Appell equation/conformal invariance引用本文复制引用
张芳,张耀宇,薛喜昌,贾利群..相对运动完整系统App ell方程Mei对称性的共形不变性与守恒量∗[J].物理学报,2015,(13):1-7,7.基金项目
国家自然科学基金(批准号:11142014)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.11142014) （批准号:11142014）
