Hamilton正则系统下二阶循环算子的讨论  

The Discussion About the Second Order Recursion Operator in the Hamiltonian Canonical System

作　　者：许晶[1] 任文秀[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2013年第2期81-86,共6页Journal of Inner Mongolia University of Technology：Natural Science Edition

摘　　要：本文考虑了无穷维线性Hamilton正则系统,将微分方程系统下获得循环算子的线性化方法,移植到Hamilton系统下,并得到确定方程(组),通过解方程(组)获得了循环算子的矩阵新形式,进一步,通过算例,验证了在Hamilton体系下,依然符合在此类微分方程系统下的关系.In this paper, we consider infinite -dimensionat tmear nanl,Xto.,,~ ： , a linearization method which get recursion operator in the differential system into the Hamilton system, and get a determining equation （group）. Through solving the equation （ group）, we win the matrix new form of recursion operator. Further more, through some examples, we verify that in Hamilton system, it is also consist with the relation which in the differential equation system.

关 键 词：循环算子 线性微分算子 无穷维Hamilton正则系统 

分 类 号：O175[理学—数学]