Lie symmetries and invariants of constrained Hamiltonian systems
Liu Rong-Wan (刘荣万)ab, Chen Li-Qun (陈立群)b
a Department of Physics, Shaoguan University, Shaoguan 512005, China; b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract According to the theory of the invariance of ordinary differential equations under the infinitesimal transformations of group, the relations between Lie symmetries and invariants of the mechanical system with a singular Lagrangian are investigated in phase space. New dynamical equations of the system are given in canonical form and the determining equations of Lie symmetry transformations are derived. The proposition about the Lie symmetries and invariants are presented. An example is given to illustrate the application of the result in this paper.
Received: 30 December 2003
Revised: 31 May 2004
Accepted manuscript online:
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