# 对角无穷维哈密顿算子点谱关于虚轴的对称性Imaginary Axis Symmetry of the Point Spectrum of the Diagonal Infinite Dimensional Hamiltonian Operators

DOI: 10.12677/AAM.2015.44038, PDF, HTML, XML, 下载: 1,632  浏览: 4,308

Abstract: In this article, the point spectrum of infinite dimension of Hamilton operators is divided into four parts, getting the sufficient and necessary condition about symmetry of each part of the point spectrum. Using structural characteristics of spectrum of infinite dimension of Hamilton operators, then the symmetry axis of the point spectrum is characterized by using the residual spectrum of internal elements. In the end, some examples are constructed to illustrate the effectiveness of criterion.

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