Titlebook: Classical and Quantum Dynamics; from Classical Paths Walter Dittrich,Martin Reuter Textbook 19921st edition Springer-Verlag Berlin Heidelbe

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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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Direct Evaluation of Path Integrals,Until now we have always used a trick to calculate the path integral in

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PIPSS*: A System based on Temporal Estimates conservative, ∂./∂. = 0, and periodic in both the unperturbed and perturbed case. In addition to periodicity, we shall require the Hamilton-Jacobi equation to be separable for the unperturbed situation. The unperturbed problem .(.) which is described by the action-angle variables . and . will be as