Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 395, Issue 2, Pages 776-787Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2012.05.075
Keywords
Schrodinger operators; Embedded eigenvalues; Decaying potentials
Categories
Funding
- Simons Foundation
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I relate the existence of eigenfunctions of decaying perturbations of the free Laplacian to the semi-classical behavior of the spectrum of quasi-periodic Schrodinger operators. In particular, I construct embedded eigenvalues in the spectrum of the discrete Laplacian perturbed by a potential of generalized bounded variation. (C) 2012 Elsevier Inc. All rights reserved.
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