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Lower estimates for the error of best uniform approximation

✍ Scribed by Günter Meinardus; G.D Taylor

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
488 KB
Volume
16
Category
Article
ISSN
0021-9045

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✍ George A. Hagedorn; Alain Joye 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 101 KB

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