Lie-Mei symmetry of mechanical system in phase space

Fang Jian-Hui; Wang Peng; Ding Ning

doi:10.7498/aps.55.3821

Abstract
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.

Keywords:
phase space /

mechanical system /

Lie-Mei symmetry /

conserved quantity
Authors and contacts
Fang Jian-Hui,

Wang Peng,

Ding Ning

1.
中国石油大学(华东)物理科学与技术学院,东营 257061
References

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Vol. 55, Issue 8 - 2006-04-20

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