Open AccessTwo types of conserved quantities of Lie-Mei symmetry for a variable mass system in phase space
Author(s) -
Liu Yang-Kui,
Jianhui Fang
Publication year - 2008
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.57.6699
Subject(s) - conserved quantity , symmetry (geometry) , function (biology) , physics , type (biology) , phase space , mathematical physics , space (punctuation) , pure mathematics , mathematics , quantum mechanics , computer science , geometry , biology , genetics , ecology , operating system
Two types of conserved quantities deduced by Lie-Mei symmetry of variable mass mechanical system are studied in phase space in the paper. The definition and criterion of Lie-Mei symmetry for the system are given. A coordination function is introducedand the conditions under which the Lie-Mei symmetry leads to the two types of conserved quantities and the forms of the two types of conserved quantities are obtained. An illustrative example is given. The coordination function can be selected according to the requirement for finding the gauge functionand the choice of the coordination function is multiformalso more conserved quantities can be deduced from Lie-Mei symmetry of the system.