离散完整力学系统的Mei对称性共形不变性

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英文篇名：Conformal Invariance of Mei Symmetry for Discrete Holonomic Systems 作者：夏丽莉 ; 张伟 英文作者：Xia Lili;Zhang Wei;College of Mechaniacl Engineering,Beijing University of Technology;College of Physical and Electronic Engineering,Henan Institute of Finance and Banking; 关键词：离散Noether定理 ; Mei对称性共形不变性 ; 守恒量 英文关键词：discrete Noether theorem;;the conformal invariance of the Mei symmetry;;conserved quantity 中文刊名：HNSX 英文刊名：Journal of Henan Normal University(Natural Science Edition) 机构：北京工业大学机械工程与应用电子技术学院;河南财政金融学院物理与电子工程学院; 出版日期：2017-04-12 17:25 出版单位：河南师范大学学报(自然科学版) 年：2017 期：v.45;No.193 基金：国家自然科学基金(11502071,11290152);; 河南省高等学校重点项目(17A140015);; 北京市朝阳区博士后基金(2016ZZ-01-17) 语种：中文; 页：HNSX201702004 页数：5 CN：02 ISSN：41-1109/N 分类号：24-28

摘要

基于离散完整系统的差分Euler-Lagrange方程,研究离散完整力学系统的Mei对称性共形不变性和守恒量.提出了该系统Mei对称性共形不变性的定义和确定方程.结合规范函数和共形因子,得到在无限小单参数点变换群作用下系统的共形不变性导致的守恒量形式.举例说明结果的应用.
        Based the difference Euler-Lagrange equations on regular lattices,the conformal invariance of the Mei symmetry and the conserved quantities are investigated for discrete holonomic systems.The conformal invariance of the Mei symmetry is defined for the discrete holonomic systems.The criterion equations and the determining equations are proposed.The conserved quantities of the systems are derived from the structure equation governing the gauge function.An example is given to illustrate the application of the results.

引文

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