标题:
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, 刘盎然
关键字:
无穷维数Hamilton算子, 点谱, 剩余谱Infinite Dimensional Hamilton Operator, Point Spectrum, Residual Spectrum
期刊名称:
《Advances in Applied Mathematics》, Vol.4 No.4, 2015-10-14
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。
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.