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From trajectories to ensembles in classical mechanics

AuthorsSanz, Ángel S. ; Miret-Artés, Salvador
Issue Date2012
CitationLecture Notes in Physics 850: 1- 45 (2012)
AbstractThe time-evolution of interacting “small” systems is usually described by means of quantum mechanics. However, very often, it happens that a first approach to these dynamics by means of classical mechanics provides a better understanding of the processes and phenomena involved. Here, an overview on classical mechanics is presented, ranging from regular motions to chaos which induces intrinsic stochasticity. This allows to establish a direct link to classical statistical mechanics within the Liouvillian framework when dealing with particle ensembles, where motion is still deterministic but unpredictable. On these grounds, some criteria to discern whether a system has to be considered as classical or quantum mechanical will be analyzed. Finally, different aspects of the continuum limit of classical mechanics of many bodies will also be presented in order to better contextualize later on in this Volume the quantum and optical hydrodynamical interpretations.
Identifiersdoi: 10.1007/978-3-642-18092-7-1
isbn: 978-3-642-18091-0
Appears in Collections:(CFMAC-IFF) Libros y partes de libros
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