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. © 2013 Springer Basel.
Subjects
eigenvalue problem
quasiperiodic potential
Schrödinger operators
DDC Class
510: Mathematik