Open AccessConformal invariance, Noether symmetry and Lie symmetry for holonomic mechanical system with variable mass
Author(s) -
Chen Rong,
Xuejun Xu
Publication year - 2012
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.61.021102
Subject(s) - noether's theorem , conformal symmetry , symmetry (geometry) , mathematical physics , physics , conformal map , holonomic , conserved quantity , conformal anomaly , conformal gravity , conformal field theory , classical mechanics , mathematics , mathematical analysis , quantum mechanics , lagrangian , geometry
The conformal invariance of holonomic mechanical system with variable mass is studied. Firstly, the definition of conformal invariance for holonomic mechanical system with variable mass is given; secondly, the relation between the conformal invariance and the Noether symmetry is discussed, and the Noether conserved quantity led by the conformal invariance is obtained; finally, the relation between the conformal invariance and the Lie symmetry is discussed, and the Hojman conserved quantity caused by the conformal invariance of the systems is obtained. In the paper, an example is given to illustrate the application of the results.