Mei symmetry,Noether symmetry and Lie symmetry of Hamiltonian canonical equations in a singular system

Luo Shao-Kai

doi:10.7498/aps.53.5

Abstract
The Mei symmetry,i.e.the form invariance,of the Hamiltonian canonical equations in a singular system is studied.The definition,the determining equations,the restriction equations and the additional restriction equations of Mei symmetry of the system are given.The relations among the Mei symmetry,the Noether symmetry and the Lie symmetry are studied,and the conserved quantities of the singular system are obtained.An example is given to illustrate the application of the result.

Keywords:
singular system /

Hamiltonian canonical equations /

constraint /

symmetry /

conserved quantity
Authors and contacts
Luo Shao-Kai

1.
长沙大学数学力学与数学物理研究所，长沙 410003
References

Cited By

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Vol. 53, Issue 1 - 2004-01-05

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Mei symmetry,Noether symmetry and Lie symmetry of Hamiltonian canonical equations in a singular system

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Mei symmetry,Noether symmetry and Lie symmetry of Hamiltonian canonical equations in a singular system

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