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

Publikationstyp
Journal Article
Date Issued
2013-12-21
Sprache
English
Author(s)
Seifert, Christian  orcid-logo
Vogt, Hendrik  
Institut
Mathematik E-10  
TORE-URI
http://hdl.handle.net/11420/9578
Journal
Integral equations and operator theory  
Volume
78
Issue
3
Start Page
383
End Page
405
Citation
Integral Equations and Operator Theory 78 (3): 383-405 (2014)
Publisher DOI
10.1007/s00020-013-2099-4
Scopus ID
2-s2.0-84897629222
Publisher
Springer
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.
Subjects
eigenvalue problem
quasiperiodic potential
Schrödinger operators
DDC Class
510: Mathematik