Uniform spectral properties of one-dimensional quasicrystals, I. Absence of eigenvalues
Mathematical Physics
2009-10-31 v1 math.MP
Abstract
We consider discrete one-dimensional Schr\"odinger operators with Sturmian potentials. For a full-measure set of rotation numbers including the Fibonacci case we prove absence of eigenvalues for all elements in the hull.
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Cite
@article{arxiv.math-ph/9903011,
title = {Uniform spectral properties of one-dimensional quasicrystals, I. Absence of eigenvalues},
author = {David Damanik and Daniel Lenz},
journal= {arXiv preprint arXiv:math-ph/9903011},
year = {2009}
}
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10 pages