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Chinese Physics, 2003, Vol. 12(5): 467-471    DOI: 10.1088/1009-1963/12/5/301
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Canonical symmetry properties of the constrained singular generalized mechanical system

Li Ai-Min (李爱民), Jiang Jin-Huan (江金环), Li Zi-Ping (李子平)
College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China
Abstract  Based on generalized Apell-Chetaev constraint conditions and to take the inherent constrains for singular Lagrangian into account, the generalized canonical equations for a general mechanical system with a singular higher-order Lagrangian and subsidiary constrains are formulated. The canonical symmetries in phase space for such a system are studied and Noether theorem and its inversion theorem in the generalized canonical formalism have been established.
Keywords:  generalized mechanics      subsidiary constraints      singular Lagrangian      canonical Noether theorem  
Received:  24 January 2003      Revised:  18 February 2003      Accepted manuscript online: 
PACS:  11.10.Ef (Lagrangian and Hamiltonian approach)  
  11.30.Pb (Supersymmetry)  

Cite this article: 

Li Ai-Min (李爱民), Jiang Jin-Huan (江金环), Li Zi-Ping (李子平) Canonical symmetry properties of the constrained singular generalized mechanical system 2003 Chinese Physics 12 467

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