99-350 J. E. Avron, A. Elgart

Smooth adiabatic evolutions with leaky power tails (31K, LaTeX) Sep 21, 99

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 99-350.src( 99-350.comments , 99-350.keywords , ao18.tex )