Jitomirskaya, S. and Simon, B. (1994) Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators. Communications in Mathematical Physics, 165 (1). pp. 201-205. ISSN 0010-3616. https://resolver.caltech.edu/CaltechAUTHORS:20171107-095819082
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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.
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| 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. | ||||||||||||
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| Issue or Number: | 1 | ||||||||||||
| Record Number: | CaltechAUTHORS:20171107-095819082 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171107-095819082 | ||||||||||||
| Official Citation: | Jitomirskaya, S. & Simon, B. Commun.Math. Phys. (1994) 165: 201. https://doi.org/10.1007/BF02099743 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 83024 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 07 Nov 2017 18:18 | ||||||||||||
| Last Modified: | 03 Oct 2019 19:01 |
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