Lie symmetry and conserved quantities of Nambu mechanical systems | Zendy

Kai Zhang | Zendy; Ce Wang | Zendy; Zhou Li-Bin | Zendy

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Lie symmetry and conserved quantities of Nambu mechanical systems

Author(s) -

Kai Zhang,

Ce Wang,

Zhou Li-Bin

Publication year - 2008

Publication title -

acta physica sinica

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.

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