Open AccessConformal invariance, Noether symmetry and Lie symmetry for systems with unilateral Chetaev non-holonomic constraints
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.61.141101
Subject(s) - noether's theorem , conformal symmetry , symmetry (geometry) , mathematical physics , conformal map , physics , relation (database) , conformal anomaly , conformal field theory , mathematics , lagrangian , mathematical analysis , computer science , geometry , database
The conformal invariance of a system with unilateral Chetaev non-holonomic is studied, and its definition is given. The relation between the conformal invariance and the Noether symmetry is discussed. Finally, the relation between the conformal invariance and the Lie symmetry is discussed, and the Hojman conserved quantity due to the conformal invariance of the systems is obtained. In the paper, an example is given to illustrate the application of the results.