Several Noether's theorem of Vacco systems with constraints
- 管理学院－已发表论文 
研究受约束Vacco系统的Noether对称性 .基于受约束Vacco系统在r 参数有限变换群Gr 的无限小广义准对称变换下的不变性 ,给出了受单面约束的Vacco系统的Noether定理及其逆定理 .受双面约束的Vacco系统的Neother定理为该定理的推论 .最后给出一个算例说明了结果的应用 .The Neother symmetry for Vacco systems with constraints is studied. Noether's theorem and its inverse theorem of Vacco systems with unilateral constraints are given,which are based upon the invariant properties by introducing the generalized quasi-symmetry of the infinitesimal transformation for the transformation group G r of r -parameter. And Noether's theorem dealing with the Vacco system of bilateral constraints is its corollary. An example to illustrate the application of the result is given.