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An improved criterion for absence of eigenvalues of one‐dimensional Schrödinger operators
Author(s) -
Seifert Christian,
Vogt Hendrik
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310252
Subject(s) - quasiperiodic function , eigenvalues and eigenvectors , schrödinger's cat , mathematics , mathematical physics , pure mathematics , mathematical analysis , physics , quantum mechanics
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. As an application we consider quasiperiodic measures as potentials. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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