AAM  >> Vol. 4 No. 4 (November 2015)

    Imaginary Axis Symmetry of the Point Spectrum of the Diagonal Infinite Dimensional Hamiltonian Operators

  • 全文下载: PDF(530KB) HTML   XML   PP.307-312   DOI: 10.12677/AAM.2015.44038  
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闫利君,刘盎然:内蒙古大学数学科学学院,内蒙古 呼和浩特市

无穷维数Hamilton算子点谱剩余谱Infinite Dimensional Hamilton Operator Point Spectrum Residual Spectrum


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.

闫利君, 刘盎然. 对角无穷维哈密顿算子点谱关于虚轴的对称性[J]. 应用数学进展, 2015, 4(4): 307-312. http://dx.doi.org/10.12677/AAM.2015.44038


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