- 98-513 Joye A., Pfister C.-E.
- Exponential Estimates in Adiabatic Quantum Evolution.
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.