98-513 Joye A., Pfister C.-E.
Exponential Estimates in Adiabatic Quantum Evolution. (25K, LATeX) Jul 20, 98
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Abstract. We review recent results concerning the exponential behaviour of transition probabilities across a gap in the adiabatic limit of the time-dependent Schr\"odinger equation. They range from an exponential estimate in quite general situations to asymptotic Landau-Zener type formulae for finite dimensional systems, or systems reducible to this case.

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