Uniform spectral properties of one-dimensional quasicrystals, I. Absence of eigenvalues
arXiv:math-ph/9903011 · doi:10.1007/s002200050742
Abstract
We consider discrete one-dimensional Schrödinger 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.
10 pages