关于钱德拉塞卡构造拉格朗日函数方法的若干问题  

Some Issues on Chandrasekar's Approach to Construction of Lagrangian

作　　者：丁光涛[1] DING Guang-Tao(College of Physics and Electronic Information, Anhui Normal University, Wuhu 24100, China)

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1期1-6,共6页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金项目(11472063)

摘　　要：研究钱德拉塞卡等提出的构造拉格朗日函数和哈密顿函数方法的理论基础,说明这个基础是诺特理论,这种方法是诺特理论逆问题的一种特殊情况,指出该方法的特点和问题,并加以完善和推广.举例说明所得结果的应用.Theory foundation of an approach to Chandrasekar et al is studied. It is shown that construction of Lagrangian is a special case of inver of Chandrasekar＇s approach are pointed out, and given to illustrate the application of the results. construction of Lagrangian and Hamiltonian presented by the foundation is Noether＇ s theorem, and the method of se problem of Noether＇s theory. The characteristic and defect the approach is modified and generalized. Two examples are

关 键 词：逆问题 诺特理论 拉格朗日函数 哈密顿函数 第一积分 

分 类 号：O320[理学—一般力学与力学基础]