Titlebook: Classical and Quantum Dynamics; From Classical Paths Walter Dittrich,Martin Reuter Textbook 20013rd edition Springer-Verlag Berlin Heidelbe

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https://doi.org/10.1007/978-3-0348-6686-6uation to be separable for the unperturbed situation. The unperturbed problem ..(..) which is described by the action-angle variables .. and .. will be assumed to be solved. Thus we have, for the unperturbed frequency: . and

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https://doi.org/10.1007/978-3-642-85278-7forms points of the P.S.S. into other (or the same) points of the P.S.S. In the following we shall limit ourselves to autonomous Hamiltonian systems, ∂./∂. = 0, so that because of the canonicity (Liouville’s theorem) the mapping is area-preserving (canonical mapping).

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,Poincaré Surface of Sections, Mappings,forms points of the P.S.S. into other (or the same) points of the P.S.S. In the following we shall limit ourselves to autonomous Hamiltonian systems, ∂./∂. = 0, so that because of the canonicity (Liouville’s theorem) the mapping is area-preserving (canonical mapping).

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Functional Derivative Approach, Heisenberg’s equation of motion into a theory formulated solely in terms of .-numbers. This can be achieved either by Schwinger’s action principle or with the aid of a generation functional defined as follows:

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1439-2674 xamples throughout the text..This new edition has been revised and enlarged with chapters on the action principle in classical electrodynamics, on the functional derivative approach, and on computing traces.978-3-642-56430-7Series ISSN 1439-2674

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Titlebook: Classical and Quantum Dynamics; From Classical Paths Walter Dittrich,Martin Reuter Textbook 20013rd edition Springer-Verlag Berlin Heidelbe

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