Open AccessMei symmetry of generalized Hamilton systems with additional terms
Author(s) -
Jia Li-Qun,
Zheng Shi-wang
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.55.3829
Subject(s) - symmetry (geometry) , conserved quantity , physics , mathematical physics , motion (physics) , classical mechanics , differential equation , mathematics , quantum mechanics , geometry
The definition and the criterion of Mei symmetry of generalized Hamilton systems with additional terms is studied in this paper. A necessary and sufficient condition for Mei symmetry of systems to be Lie symmetry is given. The Hojman conserved quantity for the differential equation of motion of generalized Hamilton system with additional terms being Mei symmetry can be deduced indirectly by Lie symmetry. An example is given to show the application of this result.