Open AccessMei symmetry, Noether symmetry and Lie symmetry of Hamiltonian system
Author(s) -
Luo Shao-Kai
Publication year - 2003
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.52.2941
Subject(s) - noether's theorem , physics , hamiltonian (control theory) , mathematical physics , global symmetry , symmetry (geometry) , symmetry number , explicit symmetry breaking , symmetry operation , spontaneous symmetry breaking , quantum mechanics , classical mechanics , rotational symmetry , lagrangian , symmetry breaking , mathematics , geometry , mathematical optimization , mechanics
The Mei symmetry, i.e. the form invariance, of a Hamiltonian system is studied. The definition and the determining equation of Mei symmetry in the Hamiltonian system are given. The relations among the Mei symmetry, the Noether symmetry and the Lie symmetry are studied, and the conserved quantities of Hamiltonian system are obtained. An example is given to illustrate the application of the result.