Published July 2004 | Version Published
Journal Article Open

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

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon University of Illinois Urbana-Champaign

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.

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.

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Identifiers

Eprint ID
12268
Resolver ID
CaltechAUTHORS:DAMpams04

Funding

National Science Foundation
DMS-0010101

Dates

Created
2008-11-13
Created from EPrint's datestamp field
Updated
2021-11-08
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