Open AccessMei conserved quantity deduced from Mei symmetry of Appell equation in a dynamical system of relative motion
Author(s) -
Luo Shao-Kai,
Jia Li-Qun,
Yongjun Xie
Publication year - 2011
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.60.040201
Subject(s) - symmetry (geometry) , infinitesimal , physics , conserved quantity , motion (physics) , mathematical physics , relative motion , equations of motion , dynamical system (definition) , classical mechanics , rotational symmetry , dynamical systems theory , mathematical analysis , quantum mechanics , mathematics , geometry , mechanics
Mei symmetry and Mei conserved quantity deduced directly from Mei symmetry for Appell equations in a dynamical system of the relative motion are investigated. The definition and the criterion of Mei symmetry of Appell equations in a dynamical system of the relative motion under the infinitesimal transformations of groups are given. The expressions of the determining equation of Mei symmetry of Appell equations and Mei conserved quantity deduced directly from Mei symmetry in a dynamical system of the relative motion are gained. An example is given to illustrate the application of the results.