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

• 来源期刊: 理论物理通讯(英文版)
• 年，卷（期）: 2009,（2）
• 页码范围: 200-204
• 页数: 5页
• 语种: 英文

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 space.At last, the above-mentioned results are applied to plane elasticity problems, which shows the practicability of the results.