Lower Transport Bounds for One-dimensional Continuum Schrödinger Operators

被引：0
|
作者：
David Damanik
Daniel Lenz
Günter Stolz
机构：
[1] California Institute of Technology,Mathematics 253–37
[2] TU Chemnitz,Fakultät für Mathematik
[3] University of Alabama,Department of Mathematics
来源：
Mathematische Annalen | 2006年 / 336卷
关键词：
Lyapunov Exponent; Transfer Matrix; Transfer Matrice; Critical Energy; Anderson Model;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove quantum dynamical lower bounds for one-dimensional continuum Schrödinger operators that possess critical energies for which there is slow growth of transfer matrix norms and a large class of compactly supported initial states. This general result is applied to a number of models, including the Bernoulli–Anderson model with a constant single-site potential.
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页码：361 / 389
页数：28
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