Published November 15, 2012
| public
Journal Article
On the existence of embedded eigenvalues
- Creators
- Krüger, Helge
Abstract
I relate the existence of eigenfunctions of decaying perturbations of the free Laplacian to the semi-classical behavior of the spectrum of quasi-periodic Schrödinger operators. In particular, I construct embedded eigenvalues in the spectrum of the discrete Laplacian perturbed by a potential of generalized bounded variation.
Additional Information
© 2012 Elsevier Inc. Received 16 January 2012. Available online 11 June 2012. Submitted by Jie Xiao. H.K. was supported by a fellowship of the Simons Foundation.Additional details
- Eprint ID
- 34338
- DOI
- 10.1016/j.jmaa.2012.05.075
- Resolver ID
- CaltechAUTHORS:20120925-090241734
- Simons Foundation Fellowship
- Created
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2012-09-25Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field