Abstract
In the present chapter we are concerned with systems, the change of which—with the exception of a single degree of freedom—should proceed slowly. (Compare the pertinent remarks about ɛ as slow parameter in Chap. 10) Accordingly, the Hamiltonian reads:
Here, (J, θ) designates the “fast” action-angle variables for the unperturbed, solved problem H 0(ɛ = 0), and the (p i , q i ) represent the remaining “slow” canonical variables, which do not necessarily have to be action-angle variables. Naturally, we again wish to eliminate the fast variable θ in (12.1).
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Dittrich, W., Reuter, M. (2017). Canonical Adiabatic Theory. In: Classical and Quantum Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-319-58298-6_12
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DOI: https://doi.org/10.1007/978-3-319-58298-6_12
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