On the formation of gaps in the spectrum of schrodinger operators with quasi-periodic potentials

被引：0

作者：

Goldstein, Michael

Schlag, Wilhelm

机构：

来源：

Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday: ERGODIC SCHRODINGER OPERATORS, SINGULAR SPECTRUM, ORTHOGONAL POLYNOMIALS, AND INVERSE SPECTRAL THEORY | 2007年 / 76卷

关键词：

quasi-periodic potentials; lyapunov exponents; spectral gaps;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we review some recent developments in the theory of Schrodinger operators with quasi-periodic potentials on the discrete line. We focus in particular on the work by the authors on the formation of a dense set of gaps in the spectrum of such operators with general analytic potentials, provided the Lyapunov exponent is positive.

引用

页码：591 / 611

页数：21

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