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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. doi:10.1155/S107379280414141X.

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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.

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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
Record Number:CaltechAUTHORS:20110920-113017984
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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
Deposited By: Ruth Sustaita
Deposited On:20 Sep 2011 20:17
Last Modified:09 Nov 2021 16:32

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