99-350 J. E. Avron, A. Elgart
Smooth adiabatic evolutions with leaky power tails (31K, LaTeX) Sep 21, 99
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Abstract. Adiabatic evolutions with a gap condition have, under a range of circumstances, exponentially small tails that describe the leaking out of the spectral subspace. Adiabatic evolutions without a gap condition do not seem to have this feature in general. This is a known fact for eigenvalue crossing. We show that this is also the case for eigenvalues at the threshold of the continuous spectrum by considering the Friedrichs model.

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