Thursday, May 9, 2013

1305.1843 (Christian Seifert et al.)

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

Christian Seifert, Hendrik Vogt
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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