Uniform spectral properties of one-dimensional quasicrystals, I. Absence of eigenvalues
classification
🧮 math-ph
math.MP
keywords
absenceeigenvaluesone-dimensionalcaseconsiderdiscreteelementsfibonacci
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We consider discrete one-dimensional Schr\"odinger operators with Sturmian potentials. For a full-measure set of rotation numbers including the Fibonacci case we prove absence of eigenvalues for all elements in the hull.
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