Conformal Invariance and Conserved Quantity of Hamilton System under Second-Class Mei Symmetry

摘要

Conformal invariance and conserved quantities of Hamilton system under second-class Mei symmetry are studied. The single-parameter infinitesimal transformation group and infinitesimal transformation vector of generator are introduced. The definitions about conformal invariance of Hamilton function and conformal invariance of Hamilton system under second-class Mei symmetry are given. The relationship between the system's conformal invariance and Mei symmetry are discussed. The necessary and sufficient condition that the system's conformal invariance would be Mei symmetry is deduced. The system's corresponding conserved quantities are obtained with the aid of a structure equation which is satisfied by the gauge function. Lastly, an example is provided to illustrate the application of the result.