中国物理B ›› 2005, Vol. 14 ›› Issue (3): 449-451.doi: 10.1088/1009-1963/14/3/001
• • 下一篇
梅凤翔1, 许学军2
Mei Feng-Xiang (梅凤翔)a, Xu Xue-Jun (许学军)ab
摘要: This paper focuses on studying a form invariance which can result in a Lutzky conserved quantity for a Lagrange system. The criterion of the form invariance for the system is given. The necessary and sufficient condition under which the form invariance is a Lie symmetry for the system is obtained. Lutzky's result is utilized to prove that the form invariance can lead to a Lutzky conserved quantity. Two examples are finally given to illustrate the application of the result.
中图分类号: (General theory of classical mechanics of discrete systems)