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Reflection symmetries and absence of eigenvalues for one-dimensional Schrödinger operators

Damanik, David and Hundertmark, Dirl (2004) Reflection symmetries and absence of eigenvalues for one-dimensional Schrödinger operators. Proceedings of the American Mathematical Society, 132 (7). pp. 1957-1962. ISSN 0002-9939. http://resolver.caltech.edu/CaltechAUTHORS:DAMpams04

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Abstract

We prove a criterion for absence of decaying solutions for one-dimensional Schrödinger operators. As necessary input, we require infinitely many centers of local reflection symmetry and upper and lower bounds for the traces of the associated transfer matrices.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1090/S0002-9939-04-06985-0DOIUNSPECIFIED
http://www.ams.org/proc/2004-132-07/S0002-9939-04-06985-0/home.htmlPublisherUNSPECIFIED
Additional Information:© 2004 American Mathematical Society. Communicated by Joseph A. Ball. Received by the editors July 3, 2002 and, in revised form, August 1, 2002. Article electronically published on February 26, 2004. Supported in part by NSF grant DMS-0010101.
Funders:
Funding AgencyGrant Number
National Science FoundationDMS-0010101
Subject Keywords:Schrödinger operators; eigenvalue problem; local reflection symmetries
Record Number:CaltechAUTHORS:DAMpams04
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:DAMpams04
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12268
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Nov 2008 03:19
Last Modified:26 Dec 2012 10:29

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