Open AccessMei symmetry,Noether symmetry and Lie symmetry of Hamiltonian canonical equations in a singular system
Author(s) -
Luo Shao-Kai
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.5
Subject(s) - noether's theorem , mathematical physics , physics , symmetry (geometry) , global symmetry , hamiltonian (control theory) , explicit symmetry breaking , symmetry number , symmetry group , classical mechanics , spontaneous symmetry breaking , lagrangian , quantum mechanics , mathematics , symmetry breaking , geometry , mathematical optimization
The Mei symmetry,i.e.the form invariance,of the Hamiltonian canonical equations in a singular system is studied.The definition,the determining equations,the restriction equations and the additional restriction equations of Mei symmetry of the system are given.The relations among the Mei symmetry,the Noether symmetry and the Lie symmetry are studied,and the conserved quantities of the singular system are obtained.An example is given to illustrate the application of the result.