Uniform spectral properties of one-dimensional quasicrystals, I. Absence of eigenvalues

Physics – Mathematical Physics

Scientific paper

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10 pages

Scientific paper

10.1007/s002200050742

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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