ANDERSON LOCALIZATION FOR THE ALMOST MATHIEU EQUATION - A NONPERTURBATIVE PROOF

被引：30

作者：

JITOMIRSKAYA, SY ^{[1
]}

机构：

[1] INT EARTHQUAKE PREDICT THEORY & MATH GEOPHYS INST,MOSCOW,RUSSIA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1994年 / 165卷 / 01期

关键词：

D O I：

10.1007/BF02099736

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that for any diophantine rotation angle omega and a.e. phase theta the almost Mathieu operator (H(theta)PSI)n = PSI(n-1 + PSI(n+1) + lambda cos(2pi(theta + nomega))PSI(n) has pure point spectrum with exponentially decaying eigenfunctions for lambda greater-than-or-equal-to 15. We also prove the existence of some pure point spectrum for any lambda greater-than-or-equal-to 5.4.

引用

页码：49 / 57

页数：9

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