Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590281 | Journal of Functional Analysis | 2013 | 14 Pages |
Abstract
We exhibit d-dimensional limit-periodic Schrödinger 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 Schrödinger 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
David Damanik, Zheng Gan,