Open AccessConformal invariance and conserved quantity for holonomic mechanical systems with variable mass
Author(s) -
Xiangwei Chen,
Yinjun Zhao,
Chang Liu
Publication year - 2009
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.58.5150
Subject(s) - noether's theorem , conformal symmetry , conserved quantity , holonomic , symmetry (geometry) , conformal map , physics , mathematical physics , holonomic constraints , conformal field theory , variable (mathematics) , classical mechanics , lagrangian , mathematics , mathematical analysis , quantum mechanics , geometry
In this paper, the conformal invariance of holonomic mechanical systems with variable mass is studied. The necessary and the sufficient conditions of conformal invariance of the system are obtained and shown to be also those of Lie symmetry simultaneously. Finally the Noether conserved quantities of conformal invariance are presented.