Limit-Periodic Schrodinger Operators on Z^d: Uniform Localization

David Damanik; Zheng Gan

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arXiv · 1207.5881

Limit-Periodic Schrodinger Operators on Z^d: Uniform Localization

David Damanik·Zheng Gan

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Abstract

We exhibit d-dimensional limit-periodic Schrodinger operators that are uniformly localized in the strongest sense possible. That is, for each of these operators, there is a uniform exponential decay rate such that every element of the hull of the corresponding Schrodinger operator has a complete set of eigenvectors that decay exponentially off their centers of localization at least as fast as prescribed by the uniform decay rate. Consequently, these operators exhibit uniform dynamical localization.

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BibTeX RIS

David Damanik, Zheng Gan. 2012-07-25. Limit-Periodic Schrodinger Operators on Z^d: Uniform Localization. https://arxiv.org/abs/1207.5881

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