中国物理B ›› 2010, Vol. 19 ›› Issue (4): 40301-040301.doi: 10.1088/1674-1056/19/4/040301
方建会
Fang Jian-Hui(方建会)†
摘要: This paper studies a new type of conserved quantity which is directly induced by Lie symmetry of the Lagrange system. Firstly, the criterion of Lie symmetry for the Lagrange system is given. Secondly, the conditions of existence of the new conserved quantity as well as its forms are proposed. Lastly, an example is given to illustrate the application of the result.
中图分类号: (Lagrangian and Hamiltonian mechanics)