摘要
研究准坐标下完整力学系统在时间不变的无限小变换下的统一对称性.列出系统的运动微分方程,给出系统的统一对称性的定义和判据,由系统的统一对称性导出Noether守恒量、Hojman守恒量和一类新型守恒量.举例说明结果的应用.
This paper discusses the unified symmetry of a holonomic mechanical system in terms of quasi-coordinates under special infinitesimal transformations in which time is not varied. The differential equations of motion of the system are given. The definition and the criterion of the unified symmetry for the system are presented. A new conserved quantity, besides the Noether conserved quantity and the Hojman conserved quantity, is deduced from the unified symmetry. An example is given to illustrate the application of the results.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2005年第12期5521-5524,共4页
Acta Physica Sinica
基金
国家自然科学基金(批准号:10272021)
高等学校博士学科点专项科研基金(批准号:20040007022)资助的课题.~~
关键词
准坐标
完整系统
统一对称性
守恒量
quasi-coordinate, holonomic system, unified symmetry, conserved quantity
