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Absolutely Continuous Spectrum of Multidimensional Schrödinger Operator

Denisov, Sergev A. (2004) Absolutely Continuous Spectrum of Multidimensional Schrödinger Operator. International Mathematics Research Notices, 2004 (74). pp. 3963-3982. ISSN 1073-7928. http://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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1155/S107379280414141XDOIUNSPECIFIED
http://imrn.oxfordjournals.org/content/2004/74/3963.abstract?sid=bd2953de-1155-4ebf-956a-8214bca96a32PublisherUNSPECIFIED
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.
Record Number:CaltechAUTHORS:20110920-113017984
Persistent URL:http://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:20 Sep 2011 20:17

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