物理学报Issue(16):1-5,5.DOI:10.7498/aps.62.160201
完整系统Appell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 Appell equations in holonomic system*
摘要
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.关键词
Appell方程/Mei对称性/共形不变性/Mei守恒量Key words
Appell equation/Mei symmetry/conformal invariance/Mei conserved quantity引用本文复制引用
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,(16):1-5,5.基金项目
国家自然科学基金(批准号:11142014)和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 (Grant No.11142014) and the Scientific Research and Innovation Plan for College Graduates of Jiangsu Province, China (Grant No. CXLX120720) (批准号:11142014)