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

نویسندگان

  • Christian Seifert
  • Hendrik Vogt
چکیده

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. MSC2010: 34L15, 34L40, 81Q10, 81Q12

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تاریخ انتشار 2014