Titlebook: Classical and Quantum Dynamics; From Classical Paths Walter Dittrich,Martin Reuter Textbook 2020Latest edition The Editor(s) (if applicable

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The Adiabatic Invariance of the Action Variables,We shall first use an example to explain the concept of adiabatic invariance. Let us consider a “super ball” of mass ., which bounces back and forth between two walls (distance .) with velocity ... Let gravitation be neglected, and the collisions with the walls be elastic.

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Canonical Perturbation Theory with Several Degrees of Freedom,We extend the perturbation theory of the previous chapter by going one order further and permitting several degrees of freedom. So let the unperturbed problem . be solved.

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Superconvergent Perturbation Theory, KAM Theorem (Introduction),Here we are dealing with an especially fast converging perturbation series, which is of particular importance for the proof of the KAM theorem (cf. below).

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