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Averaging in dynamical and hamiltonian systems

✍ Scribed by B.A. Kupershmidt

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
293 KB
Volume
122
Category
Article
ISSN
0375-9601

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Equivalence between dynamical averaging methods of the SchrΓΆdinger equation: average Hamiltonian, secular averaging, and Van Vleck transformation
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To solve the Schri+dinger equation with a timedependent Hamiltonian, two main perturbation-expansion schemes arc available: secular averaging theory (SAT) and average Hamiltonian theory (AHT). Due to the lack ofan explicit relationship between SAT and AHT, some discrepancies between the results yiel