2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58202We review recent results concerning the exponential behaviour of transition probabilities across a gap in the adiabatic limit of the time-dependent Schrödinger 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.6 pages, To appear in: Proceedings of XIIth Int.Cong.Math.Phys. Brisbane, 1997Mathematical Physics82C10text