Open AccessConformal invariance and Hojman conserved quantities of generalized Hamilton systems
Author(s) -
Chang Liu,
Shixing Liu,
Mei Feng-Xiang,
YongXin Guo
Publication year - 2008
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.57.6709
Subject(s) - infinitesimal , conformal symmetry , conserved quantity , conformal map , mathematical physics , symmetry (geometry) , physics , mathematics , classical mechanics , mathematical analysis , geometry
In this paper the conformal invariance under infinitesimal transformations of generalized Hamilton systems is studied. The necessary and sufficient conditions for the conformal invariance under infinitesimal transformations which has Lie symmetry are given. Then we get the Hojman conserved quantities from conformal invariance of generalized Hamilton systems. Finallyan illustrative example is given to verify the result.