Open AccessLie symmetry and the conserved quantity of a generalized Hamiltonian system
Author(s) -
Mei Feng-Xiang
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
ISSN - 1000-3290
DOI - 10.7498/aps.52.1048
Subject(s) - infinitesimal , hamiltonian system , hamiltonian (control theory) , mathematical physics , conservation law , conserved quantity , symmetry (geometry) , physics , classical mechanics , mathematics , pure mathematics , mathematical analysis , quantum mechanics , geometry , mathematical optimization
For a generalized Hamiltonian system, a new conservation law derived by using the Lie symmetry is studies. Firstly, the differential equations of the system are given. Secondly, the Lie symmetry under special infinitesimal transformations is studied. Thirdly, the theorem of Hojman is generalized to this system. Finally, an example is given to illustrate the application of the result.