a College of Physics Science and Technology, University of Petroleum, Dongying 257061, China; b Department of Physics, Hexi College, Zhangye 734000, China
Abstract In this paper, we study the Lie symmetrical non-Noether conserved quantity of a holonomic Hamiltonian system under the general infinitesimal transformations of groups. Firstly, we establish the determining equations of Lie symmetry of the system. Secondly, the Lie symmetrical non-Noether conserved quantity of the system is deduced. Finally, an example is given to illustrate the application of the result.
Received: 30 December 2003
Revised: 31 May 2004
Accepted manuscript online:
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