Eigenvalue Spacings and Dynamical Upper Bounds for Discrete One-Dimensional Schroedinger Operators
Spectral Theory
2019-12-19 v1 Mathematical Physics
math.MP
Abstract
We prove dynamical upper bounds for discrete one-dimensional Schroedinger operators in terms of various spacing properties of the eigenvalues of finite volume approximations. We demonstrate the applicability of our approach by a study of the Fibonacci Hamiltonian.
Cite
@article{arxiv.0911.1671,
title = {Eigenvalue Spacings and Dynamical Upper Bounds for Discrete One-Dimensional Schroedinger Operators},
author = {Jonathan Breuer and Yoram Last and Yosef Strauss},
journal= {arXiv preprint arXiv:0911.1671},
year = {2019}
}