中国物理B ›› 2010, Vol. 19 ›› Issue (4): 40302-040302.doi: 10.1088/1674-1056/19/4/040302
蔡建乐1, 夏丽莉2
Xia Li-Li(夏丽莉)a)† and Cai Jian-Le(蔡建乐)b)
摘要: Conformal invariance and conserved quantities of a general holonomic system with variable mass are studied. The definition and the determining equation of conformal invariance for a general holonomic system with variable mass are provided. The conformal factor expression is deduced from conformal invariance and Lie symmetry. The relationship between the conformal invariance and the Lie symmetry is discussed, and the necessary and sufficient condition under which the conformal invariance would be the Lie symmetry of the system under an infinitesimal one-parameter transformation group is deduced. The conserved quantities of the system are given. An example is given to illustrate the application of the result.
中图分类号: (Lagrangian and Hamiltonian mechanics)