Open AccessLie symmetry and conserved quantities of Nambu mechanical systems
Author(s) -
Kai Zhang,
Ce Wang,
Lixin Zhou
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.57.6718
Subject(s) - conserved quantity , symmetry (geometry) , homogeneous space , euler equations , physics , spacetime symmetries , mathematical physics , conservation law , lie group , inverse , euler's formula , classical mechanics , theoretical physics , mathematics , pure mathematics , mathematical analysis , quantum mechanics , geometry , quantum , quantum field theory in curved spacetime , quantum gravity
In this articleLie symmetry of Nambu mechanical systems is discussed and its determining equations are established. Consequentlythe structure equation and the associated conserved quantities are obtained. The inverse problem of Lie symmetries of the systems is also studied. As an exampleEuler equations are used to illustrate the application of the main results.