Lie-Mei symmetry of mechanical system in phase space | Zendy

Fang Jian-Hui | Zendy; Peng Wang | Zendy; Ding Ning | Zendy

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Lie-Mei symmetry of mechanical system in phase space

Author(s) -

Fang Jian-Hui,

Peng Wang,

Ding Ning

Publication year - 2006

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.55.3821

Subject(s) - symmetry (geometry) , phase space , physics , space (punctuation) , phase (matter) , mathematical physics , quantum mechanics , computer science , geometry , mathematics , operating system

In this paper, a new kind of symmetry and its conserved quantities of a mechanical system in the phase space are studied. The definition of this new symmetry, i.e., the Lie-Mei symmetry is presented, and the criterion of this new symmetry is also given. The generalized Hojman and the Mei conserved quantities of the Lie-Mei symmetry of the system are obtained. An example is given to illustrative the application of the result.

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