Spectra of Off-diagonal Infinite-Dimensional Hamiltonian Operators and Their Applications to Plane Elasticity Problems  

作　　者：Alatancang 

机构地区：[1]School of Mathematical Sciences,Inner Mongolia University

出　　处：《Communications in Theoretical Physics》2009年第2期200-204,共5页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.10562002;the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No.20070126002;the Natural Science Foundation of Inner Mongolia under Grant No.200508010103;the Inner Mongolia University Scientific Research Starting Foundation for Talented Scholars under Grant No.207066

摘　　要：In the present paper, the spectrums of off-diagonal infinite-dimensional Hamiltonian operators are studied. At first, we prove that the spectrum, the continuous-spectrum, and the union of the point-spectrum and residual- spectrum of the operators are symmetric with respect to real axis and imaginary axis. Then for the purpose of reducing the dimension of the studied problems, the spectrums of the operators are expressed by the spectrums of the product of two self-adjoint operators in state spac,3. At last, the above-mentioned results are applied to plane elasticity problems, which shows the practicability of the results.

关 键 词：plane elasticity problem SPECTRUM Hamiltonian operator uncoupled 

分 类 号：O302[理学—力学]