摘要
研究相空间中完整力学系统正则方程的形式不变性 ,建立了完整约束系统形式不变性的确定方程和限制方程 ,给出了形式不变性导致守恒量的结构方程以及守恒量的形式 ,导出了形式不变性与Lie对称性的关系 ,并举例说明结果的应用。
The form invariance of holonomic systems in phase space is presented. Firstly, the determining equations and the restriction equations of the form invariance of the systems under the infinitesimal transformations are obtained. The structure equations and the form of conserved quantities are given. Then, the relation between the form invariance and Lie symmetry of the systems is deduced. Finally, an example is given to illustrate the application of the results.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2002年第6期10-13,共4页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金资助项目 (19972 0 10 )
