Conformal Invariance and Noether Conserved Quantities of First-Order Lagrange Systems

摘要

In this paper the conformal invariance by infinitesimal transformations of first-order Lagrange systemsis discussed in detail.The necessary and sufficient conditions of conformal invariance by the action of infinitesimaltransformations being Lie symmetry simultaneously are given.Then we get the conserved quantities of conformalinvariance by the infinitesimal transformations.Finally an example is given to illustrate the application of the results.