05-66 A. Fedotov, F. Klopp

Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schr dinger operators (1196K, Portable document file) Feb 13, 05

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Abstract. In this paper, we consider one dimensional adiabatic quasi-periodic Schr dinger operators in the regime of strong resonant tunneling. We show the emergence of a level repulsion phenomenon which is seen to be very naturally related to the local spectral type of the operator: the more singular the spectrum, the weaker the repulsion.

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