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Noether定理的推广
引用本文:邱荣,喻身启,李怀玖.Noether定理的推广[J].辽宁师范大学学报(自然科学版),1992(1).
作者姓名:邱荣  喻身启  李怀玖
作者单位:福州大学,辽宁师范大学物理系,辽宁师范大学物理系
摘    要:加速参考系中的非线性完整系统,在空时坐标作无穷小变换下引起拉格朗日函数和约束方程的变化,导致了普遍的变换结果;给出了约束系统在变换下导致守恒定律的条件;在特殊情况下,变换性质方程可化为经典的Noether定理.

关 键 词:非线性完整系统  约束方程  Noether定理

EXTENSION OF NOETHER'S LAW
Qiu Rong.EXTENSION OF NOETHER''''S LAW[J].Journal of Liaoning Normal University(Natural Science Edition),1992(1).
Authors:Qiu Rong
Abstract:The change of Lagrange's function and constraint equations of non-linear non-holonomic system in non-inertial system under the infinitesimal transformations of the time-space points leads to general transformation result. From these, the condition under which the transfermation of constrained system yields conservation law can be worked out. In special cases,the general equations of transformations properties can be reduced to the classical Noether's theorem.
Keywords:non-linear non holonomic system  constraint equations  Noether's law
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