Noether symmetry and Lie symmetry of discrete holonomic systems with dependent coordinates  

作　　者：施沈阳 黄晓虹 

机构地区：[1]Department of Physics, Zhejiang Sci-Tech University [2]School of Physics and Electronic Information, Wenzhou University

出　　处：《Chinese Physics B》2008年第5期1554-1559,共6页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No 10672143)

摘　　要：The Noether symmetry, the Lie symmetry and the conserved quantity of discrete holonomic systems with dependent coordinates are investigated in this paper. The Noether symmetry provides a discrete Noether identity and a conserved quantity of the system. The invariance of discrete motion equations under infinitesimal transformation groups is defined as the Lie symmetry, and the condition of obtaining the Noether conserved quantity from the Lie symmetry is also presented. An example is discussed to show the applications of the results.The Noether symmetry, the Lie symmetry and the conserved quantity of discrete holonomic systems with dependent coordinates are investigated in this paper. The Noether symmetry provides a discrete Noether identity and a conserved quantity of the system. The invariance of discrete motion equations under infinitesimal transformation groups is defined as the Lie symmetry, and the condition of obtaining the Noether conserved quantity from the Lie symmetry is also presented. An example is discussed to show the applications of the results.

关 键 词：discrete mechanics Noether symmetry Lie symmetry discrete conserved quantity 

分 类 号：O316[理学—一般力学与力学基础]