01-288 George A. Hagedorn and Alain Joye
Elementary Exponential Error Estimates for the Adiabatic Approximation (31K, latex) Jul 25, 01
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Abstract. We present an elementary proof that the quantum adiabatic approximation is correct up to exponentially small errors for Hamiltonians that depend analytically on the time variable. Our proof uses optimal truncation of a straightforward asymptotic expansion. We estimate the terms of the expansion with standard Cauchy estimates.

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