一类具有归一辛正交特征函数系的非Hamilton算子

A Class Of Non-Hamilton Operator With Normalized and Symplectic Orthogonal Eigenfunction System

阿拉坦仓^([5])把微分方程化为Hamilton系统的一种简单的表现形式■=Hu,其右端H即为无穷维Hamilton算子,本文考察了无穷维Hamilton算子是否具有归一辛正交的特征函数系的问题,得到一类具有归一辛正交特征函数系的非Hamilton算子.

Professor Alatancang transformed differential equation into a easy manifestation of Hamilton operator ■ = Hu, Hnamely is Hamilton operator. In this thesis, the problem whether Hamilton operator have normalized and symplectic orthogonal eigenfunction system is disscussed, and a class of non-Hamilton operator with normalized and symplectic orthogonal eigenfunction system is found.