Open AccessForm invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms
Author(s) -
Xiaoqiang Sun,
Yaoyu Zhang,
Xue Xi-chang,
Jia Li-Qun
Publication year - 2015
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.64.064502
Subject(s) - infinitesimal , conserved quantity , infinitesimal transformation , transformation (genetics) , symmetry (geometry) , mathematical physics , gauge theory , transformation group , conservation law , physics , function (biology) , gauge (firearms) , mathematics , classical mechanics , mathematical analysis , pure mathematics , geometry , biochemistry , chemistry , evolutionary biology , biology , gene , history , archaeology
Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms are studied. By introducing infinitesimal transformation group and its infinitesimal transformation vector of generators, the definition and determining equations of the Mei symmetry for generalized Hamilton systems after adding additional terms are provided. By means of the structure equation satisfied by the gauge function, the Mei conserved quantity corresponding to the form invariance for the system is derived. Finally an illustrative example is given to verify the results.