中国物理B ›› 2003, Vol. 12 ›› Issue (5): 467-471.doi: 10.1088/1009-1963/12/5/301

• GENERAL •    下一篇

Canonical symmetry properties of the constrained singular generalized mechanical system

李爱民, 江金环, 李子平   

  1. College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China
  • 收稿日期:2003-01-24 修回日期:2003-02-18 出版日期:2005-03-16 发布日期:2005-03-16

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)   

  1. College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China
  • Received:2003-01-24 Revised:2003-02-18 Online:2005-03-16 Published:2005-03-16

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摘要： 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.

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.

Key words: generalized mechanics, subsidiary constraints, singular Lagrangian, canonical Noether theorem

中图分类号:  (Lagrangian and Hamiltonian approach)

  • 11.10.Ef
11.30.Pb (Supersymmetry)