Published February 1, 2012
| public
Journal Article
The spectrum of skew-shift Schrödinger operators contains intervals
- Creators
- Krüger, Helge
Abstract
I prove that the spectrum of a skew-shift Schrödinger operator contains large intervals in the semi-classical regime. In the semi-classical limit, these intervals approach the range of the potential.
Additional Information
© 2011 Published by Elsevier Inc. Received 19 August 2011; accepted 19 September 2011. Available online 12 November 2011. Communicated by J. Bourgain. H.K. was supported an Erwin Schrödinger junior research fellowship. I started working on the problem under consideration while writing my PhD thesis. I am thankful to my advisor David Damanik for the support during this process. Furthermore, I wish to thank Michael Goldstein and Svetlana Jitomirskaya for insightful discussions to the process of creation of gaps. Last, I wish to thank Mark Embree without whose help, I would probably not been able to produce the numerical results in Appendix A.Additional details
- Eprint ID
- 29254
- DOI
- 10.1016/j.jfa.2011.09.015
- Resolver ID
- CaltechAUTHORS:20120213-095013425
- Erwin Schrödinger Junior Research Fellowship
- Created
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2012-02-23Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field