The Campbell-Baker-Hausdorff expansion for classical and quantum kicked dynamics
- 7 May 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (9) , 2007-2021
- https://doi.org/10.1088/0305-4470/21/9/017
Abstract
A technique based on the Campbell-Baker-Hausdorff (CBH) formula is introduced to calculate the effective Hamiltonian for kicked dynamics, classical and quantum. An integrable example is exactly solved by this method. A non-integrable kicked spin dynamics is treated approximately up to seventh order in a perturbation parameter. The CBH expansion is evaluated in a transparent way with the help of a REDUCE program, thereby illustrating that the CBH expansion is asymptotic.Keywords
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