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Error Estimates for the Approximation of the Effective Hamiltonian

✍ Scribed by Fabio Camilli; Italo Capuzzo Dolcetta; Diogo A. Gomes


Publisher
Springer
Year
2007
Tongue
English
Weight
532 KB
Volume
57
Category
Article
ISSN
0095-4616

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πŸ“œ SIMILAR VOLUMES


Elementary Exponential Error Estimates f
✍ George A. Hagedorn; Alain Joye πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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