Eigenvalue Spacings and Dynamical Upper Bounds for Discrete One-Dimensional Schroedinger Operators

Details Eigenvalue Spacings and Dynamical Upper Bounds for Discrete One-Dimensional Schroedinger Operators Eigenvalue Spacings and Dynamical Upper Bounds for Discrete One-Dimensional Schroedinger Operators

2009-11-09

arxiv.org/abs/0911.1671v1

Mathematics

Spectral Theory

Scientific paper

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.

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