- 05-66 A. Fedotov, F. Klopp
- Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schr dinger operators
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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.