Published October 1994
| Version public
Journal Article
Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators
Creators
-
1.
University of California, Irvine
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2.
Division of Physics
Abstract
We prove that one-dimensional Schrödinger operators with even almost periodic potential have no point spectrum for a dense G_δ in the hull. This implies purely singular continuous spectrum for the almost Mathieu equation for coupling larger than 2 and a dense G_δ in θ even if the frequency is an irrational with good Diophantine properties.
Additional Information
© 1994 Springer-Verlag. Received: 19 October 1993. This material is based upon work supported by the National Science Foundation under Grant No. DMS-9101715. The Government has certain rights in this material.Additional details
Identifiers
- Eprint ID
- 83024
- DOI
- 10.1007/BF02099743
- Resolver ID
- CaltechAUTHORS:20171107-095819082
Related works
- Describes
- 10.1007/BF02099743 (DOI)
Funding
- NSF
- DMS-9101715
Dates
- Created
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2017-11-07Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department