A weak Gordon type condition for absence of eigenvalues of one-dimensional Schrödinger operators

Publisher DOI:	10.1007/s00020-013-2099-4
Title:	A weak Gordon type condition for absence of eigenvalues of one-dimensional Schrödinger operators
Language:	English
Authors:	Seifert, Christian Vogt, Hendrik
Keywords:	eigenvalue problem; quasiperiodic potential; Schrödinger operators
Issue Date:	21-Dec-2013
Publisher:	Springer
Source:	Integral Equations and Operator Theory 78 (3): 383-405 (2014)
Abstract (english):	We study one-dimensional Schrödinger operators with complex measures as potentials and present an improved criterion for absence of eigenvalues which involves a weak local periodicity condition. The criterion leads to sharp quantitative bounds on the eigenvalues. We apply our result to quasiperiodic measures as potentials. © 2013 Springer Basel.
URI:	http://hdl.handle.net/11420/9578
ISSN:	1420-8989
Journal:	Integral equations and operator theory
Institute:	Mathematik E-10
Document Type:	Article
Appears in Collections:	Publications without fulltext

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