Hamilton体系下对称的一些探讨  

Some Discussions about Symmetry of Hamiltonian Systems

作　　者：单威[1] 任文秀[1] 李静[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古大学学报（自然科学版）》2016年第5期466-472,共7页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自然科学基金资助项目(No.2014MS0115)

摘　　要：主要研究Hamilton正则体系下的对称,把多维无穷小生成子的一阶延拓看成1+1维无穷小生成子的一阶延拓后,对Hamilton算子为常数矩阵及常系数矩阵时的情形进行了一些探讨,并由此获得了关于对称的若干结论.此外,还给出了几个算例,验证了结论的可行性.The symmetries of Hamiltonian canonical systems are mainly studied. Regarding the first-order prolongation of multi-dimensional infinitesimal generators as the first-order prolongation of 1 ＋ 1 dimensional infinitesimal generators, some conclusions about symmetries are carried out when Hamiltonian operators are constant matrix operators or constant coefficient matrix operators, and some conclusions about the given to verify the feasibility of symmetries are obtained. In addition, several numerical examples are the conclusions.

关 键 词：无穷维正则Hamilton系统 对称 无穷小生成子 

分 类 号：O175[理学—数学]