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arXiv · 0911.1671

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

Jonathan Breuer·Yoram Last·Yosef Strauss
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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.

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Jonathan Breuer, Yoram Last, Yosef Strauss. 2009-11-09. Eigenvalue Spacings and Dynamical Upper Bounds for Discrete One-Dimensional Schroedinger Operators. https://doi.org/10.1215/00127094-2011-006

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