Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms

摘要

Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms are studied. Under the infinitesimal transformations of group, the conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms are studied. A necessary and sufficient condition of which the conformal invariance for the system is also Mei symmetry is present. Then the expression of Mei conserved quantity for the system is given. Finally, an example is given to illustrate the application of the result.