Regularity of the Rotation Number for the One-Dimensional Time-Continuous Schrodinger Equation

被引：1

作者：

Amor, Sana Hadj ^{[1
]}

机构：

[1] Ecole Natl Ingn Monastir, Monastir 5019, Tunisia

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2012年 / 15卷 / 04期

关键词：

Schrodinger equation; Rotation number; DENSITY-OF-STATES; HOLDER CONTINUITY;

D O I：

10.1007/s11040-012-9113-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Starting from results already obtained for quasi-periodic co-cycles in we show that the rotation number of the one-dimensional time-continuous Schrodinger equation with Diophantine frequencies and a small analytic potential has the behavior of a Holder function. We give also a sub-exponential estimate of the length of the gaps which depends on its label given by the gap-labeling theorem.

引用

页码：331 / 342

页数：12

共 9 条

[1]

Amor SH, 2009, COMMUN MATH PHYS, V287, P565, DOI 10.1007/s00220-008-0688-x

[2]

Avila A., 2008, ARXIV08051761V1MATHD

[3] Holder regularity of integrated density of states for the Almost Mathieu operator in a perturbative regime [J].