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

作　　者：闫利君[1] 刘盎然 

机构地区：[1]内蒙古大学数学科学学院,内蒙古呼和浩特市

出　　处：《应用数学进展》2015年第4期307-312,共6页Advances in Applied Mathematics

摘　　要：本文将无穷维数Hamilton算子点谱划分为四个部分,得到每个部分的点谱关于虚轴对称的充要条件。运用无穷维数Hamilton算子的谱的结构特点,从而实现了运用内部元素的剩余谱来刻画整体的点谱的关于虚轴的对称性。最后证明了结论的正确性。Inthis article, the point spectrum of infinite dimension of Hamilton operators isdivided into four parts, getting thesufficient and necessary condition about symmetry of each part of the point spectrum.Using structural characteristics of spectrum of infinite dimension of Hamiltonoperators, then the symmetry axis of the point spectrum is characterized byusing the residual spectrum of internal elements. In the end, some examples areconstructed to illustrate the effectiveness of criterion.

关 键 词：无穷维数Hamilton算子 点谱 剩余谱 

分 类 号：O1[理学—数学]