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arxiv: 0711.1852 · v1 · submitted 2007-11-12 · 🧮 math.SP · math-ph· math.MP

On Perturbations of Quasiperiodic Schroedinger Operators

classification 🧮 math.SP math-phmath.MP
keywords operatorsoscillationperturbationsquasiperiodicrelativeschroedingerasymptoticscriteria
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Using relative oscillation theory and the reducibility result of Eliasson, we study perturbations of quasiperiodic Schroedinger operators. In particular, we derive relative oscillation criteria and eigenvalue asymptotics for critical potentials.

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