Open AccessConformal invariance and Hojman conserved quantity of Lie symmetry for Appell equations in a holonomic system
Author(s) -
Xiaoqiang Sun,
Yaoyu Zhang,
Zhang Fang,
Jia Li-Qun
Publication year - 2014
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.63.140201
Subject(s) - conserved quantity , symmetry (geometry) , conformal symmetry , infinitesimal , mathematical physics , physics , holonomic constraints , conformal map , holonomic , mathematics , classical mechanics , mathematical analysis , quantum mechanics , geometry
The conformal invariance and Hojman conserved quantity of Lie symmetry for Appell equations in a holonomic system are studied. Under the special infinitesimal transformations in which the time is not variable, the Lie symmetry and conformal invariance of differential equations of motion for a holonomic system are defined, and the determining equations of the conformal invariance of Lie symmetry and the Hojman conserved quantity for the system are given. Finally, an example is presented to illustrate the application of the results.