Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 267, Issue 1, Pages 235-246Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1006/jmaa.2001.7765
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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. (C) 2002 Elsevier Science (USA).
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