Abstract
Let a physical system be described by a Hamiltonian with two sets of variables \(\boldsymbol{r}\) and \(\boldsymbol{R}(t):\, H(\boldsymbol{r},\boldsymbol{R}(t)).\) The dynamical degrees of freedom \(\boldsymbol{r}\) (not necessarily space variables) are also called fast variables. The external time dependence is given by the slowly varying parameters \(\boldsymbol{R}(t) =\{ X(t),\,Y (t),\,\ldots,\,Z(t)\}\); consequently, the \(\boldsymbol{R}(t)\) are called slow variables.
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Dittrich, W., Reuter, M. (2017). Berry’s Phase. In: Classical and Quantum Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-319-58298-6_32
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DOI: https://doi.org/10.1007/978-3-319-58298-6_32
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