1305.1843 (Christian Seifert et al.)

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

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.

View original: http://arxiv.org/abs/1305.1843