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Published July 2004 | Published
Journal Article Open

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

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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August 22, 2023
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