On the Singular Spectrum for Adiabatic Quasiperiodic Schrodinger Operators

被引：0

作者：

Marx, Magali ^{[2
]}

Najar, Hatem ^{[1
]}

机构：

[1] ISMAI Kairouan, Dept Math, Abd Assed Ibn Elfourat 3100, Kairouan, Tunisia

[2] Univ Paris 13, LAGA, CNRS, Inst Galilee,UMR 7539, F-93430 Villetaneuse, France

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2010年 / 2010卷

关键词：

D O I：

10.1155/2010/145436

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study spectral properties of a family of quasiperiodic Schrodinger operators on the real line in the adiabatic limit. We assume that the adiabatic iso-energetic curve has a real branch that is extended along the momentum direction. In the energy intervals where this happens, we obtain an asymptotic formula for the Lyapunov exponent and show that the spectrum is purely singular. This result was conjectured and proved in a particular case by Fedotov and Klopp (2005).

引用

页数：30

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