Open AccessLie-Mei symmetry of mechanical system in phase space
Author(s) -
Jianhui Fang,
Peng Wang,
Ding Ning
Publication year - 2006
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.55.3821
Subject(s) - symmetry (geometry) , phase space , physics , space (punctuation) , phase (matter) , mathematical physics , quantum mechanics , computer science , geometry , mathematics , operating system
In this paper, a new kind of symmetry and its conserved quantities of a mechanical system in the phase space are studied. The definition of this new symmetry, i.e., the Lie-Mei symmetry is presented, and the criterion of this new symmetry is also given. The generalized Hojman and the Mei conserved quantities of the Lie-Mei symmetry of the system are obtained. An example is given to illustrative the application of the result.