93-284 Joye A:, Pfister C.-E.
Quantum adiabatic evolution (34K, LaTeX) Nov 1, 93
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Abstract. This is a review about recent results for the adiabatic evolution for quantum systems with analytic Hamiltonians. A new version of the adiabatic theorem in Quantum Mechanics is given and the geometrical aspects of the evolution is discussed. For two-level systems various rigourous formulas given the transition probability between the two energy-levels, like the Landau-Zener formula, are reviewed.

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