A Weak Gordon Type Condition for Absence of Eigenvalues of One-dimensional Schr?dinger Operators
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- 作者：Christian Seifert (1)
Hendrik Vogt (1) - 关键词：34L15 ; 34L40 ; 81Q10 ; 81Q12 ; Schr?dinger operators ; eigenvalue problem ; quasiperiodic potential
- 刊名：Integral Equations and Operator Theory
- 出版年：2014
- 出版时间：March 2014
- 年：2014
- 卷：78
- 期：3
- 页码：383-405
- 全文大小：344 KB
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8. Seifert, C.: Measure-perturbed one-dimensional Schr?dinger operators—a continuum model for quasicrystals. Dissertation thesis, Chemnitz University of Technology (2012). 1-qucosa-102766" class="a-plus-plus">http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-102766 - 作者单位：Christian Seifert (1)
Hendrik Vogt (1)
1. Institut für Mathematik, Technische Universit?t Hamburg-Harburg, 21073, Hamburg, Germany - ISSN：1420-8989
文摘
We study one-dimensional Schr?dinger 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.