Open AccessThe Noether conserved quantity of Lie symmetry for discrete difference sequence Hamilton system with variable mass
Author(s) -
Xu Rui-Li,
Jianhui Fang,
Bin Zhang
Publication year - 2013
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.62.154501
Subject(s) - noether's theorem , conserved quantity , infinitesimal , homogeneous space , symmetry (geometry) , conservation law , sequence (biology) , infinitesimal transformation , mathematical physics , physics , lie group , variable (mathematics) , mathematics , dynamical systems theory , classical mechanics , pure mathematics , mathematical analysis , quantum mechanics , geometry , biology , genetics
In this paper the Lie symmetry and Noether conserved quantity of a discrete difference sequence Hamilton system with variable mass are studied. Firstly, the difference dynamical equations of the discrete difference sequence Hamilton system with variable mass are built. Secondly, the determining equations and the definition of Lie symmetry for difference dynamical equations of the discrete difference sequence Hamilton system under infinitesimal transformation groups are given. Thirdly, the forms and conditions of Noether conserved quantities to which Lie symmetries will lead in a discrete mechanical system are obtained. Finally, an example is given to illustrate the application of the results.