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

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Behavioural Physiology of Farm Mammals,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. Then we expand the perturbed Hamiltonian in the (.., ..)-“basis” according to

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https://doi.org/10.1007/978-3-642-85278-7In 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 ε as slow parameter in Chap. 7.) Accordingly, the Hamiltonian reads:

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https://doi.org/10.1007/978-94-009-1145-1We now want to compute the kernel .) for a few simple Lagrangians. We have already found for the one-dimensional case that . with

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Introduction,The subject of this monograph is classical and quantum dynamics. We are fully aware that this combination is somewhat unusual, for history has taught us convincingly that these two subjects are founded on totally different concepts; a smooth transition between them has so far never been made and probably never will.

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The Action Principles in Mechanics,We begin this chapter with the definition of the action functional as time integral over the Lagrangian ..., ... of a dynamical system:

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Canonical Transformations,Let .., ..,..., .., .....,..... be 2. independent canonical variables, which satisfy Hamilton’s equations: