A weak Gordon type condition for absence of eigenvalues of one-dimensional Schr\"odinger operators

Christian Seifert; Hendrik Vogt

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arXiv · 1305.1843

A weak Gordon type condition for absence of eigenvalues of one-dimensional Schr\"odinger operators

Christian Seifert·Hendrik Vogt

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Abstract

We study one-dimensional Schr\"odinger 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.

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BibTeX RIS

Christian Seifert, Hendrik Vogt. 2013-05-08. A weak Gordon type condition for absence of eigenvalues of one-dimensional Schr\"odinger operators. https://arxiv.org/abs/1305.1843

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