未找到相关数据
On the AC Spectrum of One-dimensional Random Schrödinger Operators with Matrix-valued Potentials
被引：0
作者：
Richard Froese
David Hasler
Wolfgang Spitzer
机构：
[1] University of British Columbia,Department of Mathematics
[2] College of William & Mary,Department of Mathematics
[3] FernUniversität Hagen,Fakultät für Mathematik und Informatik
来源：
Mathematical Physics, Analysis and Geometry
|
2010年
/
13卷
关键词：
Random Schrödinger operators;
Spectral theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider discrete one-dimensional random Schrödinger operators with decaying matrix-valued, independent potentials. We show that if the ℓ2-norm of this potential has finite expectation value with respect to the product measure then almost surely the Schrödinger operator has an interval of purely absolutely continuous (ac) spectrum. We apply this result to Schrödinger operators on a strip. This work provides a new proof and generalizes a result obtained by Delyon et al. (Ann. Inst. H. Poincaré Phys. Théor. 42(3):283–309, 1985).
引用
收藏
页码：219 / 233
页数：14
相关论文
未找到相关数据