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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