论文标题
几乎具有小耦合常数的几乎Mathieu操作员的一系列光谱差距
A series of spectral gaps for the almost Mathieu operator with a small coupling constant
论文作者
论文摘要
对于几乎具有小耦合常数的几乎Mathieu操作员,对于一系列的光谱间隙,我们描述了间隙的渐近位置,并获得其长度的下限。结果是通过分析单构基质来获得的。
For the almost Mathieu operator with a small coupling constant, for a series of spectral gaps, we describe the asymptotic locations of the gaps and get lower bounds for their lengths. The results are obtained by analysing a monodromy matrix.