利用诺特定理构造拉格朗日函数  

Construction of Lagrangian by Using Noether Theorem

作　　者：丁光涛[1] 

机构地区：[1]安徽师范大学物理与电子信息学院,安徽芜湖241000

出　　处：《安徽师范大学学报（自然科学版）》2017年第6期511-517,共7页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金项目(11472063)

摘　　要：研究诺特定理广义逆问题,指出能够直接利用诺特定理构造一维系统的拉格朗日函数的两种特殊情况,并将这种构造拉格朗日函数的方法推广到多维系统.举例说明所得结果的应用.The generalized inverse problem of Noether theorem is studied. Two special cases are pointed out in which the Lagrangians of one-dimensional systems can directly be constructed by using Noether theorem. The method to construct Lagrangians is extended to multi-dimensional systems. Two examples are given to illustrate the application of the results.

关 键 词：逆问题 诺特理论 拉格朗日函数 第一积分 

分 类 号：O320[理学—一般力学与力学基础]