Denisov, Sergev A. (2004) Absolutely Continuous Spectrum of Multidimensional Schrödinger Operator. International Mathematics Research Notices, 2004 (74). pp. 3963-3982. ISSN 1073-7928. doi:10.1155/S107379280414141X. https://resolver.caltech.edu/CaltechAUTHORS:20110920-113017984
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Abstract
We prove that a three-dimensional Schrödinger operator with slowly decaying potential has an absolutely continuous (a.c.) spectrum that fills R+. Asymptotics of Green's functions is obtained as well.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2004 Hindawi Publishing Corporation. Received April 25, 2004. Revision received September 1, 2004. Accepted October 17, 2004. We are grateful to B. Simon for the useful discussions. | |||||||||
| Issue or Number: | 74 | |||||||||
| DOI: | 10.1155/S107379280414141X | |||||||||
| Record Number: | CaltechAUTHORS:20110920-113017984 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20110920-113017984 | |||||||||
| Official Citation: | Sergey A. Denisov Absolutely continuous spectrum of multidimensional Schrödinger operator Int Math Res Notices (2004) Vol. 2004 3963-3982 doi:10.1155/S107379280414141X | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 25366 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 20 Sep 2011 20:17 | |||||||||
| Last Modified: | 09 Nov 2021 16:32 |
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