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Titlebook: Determinism, Holism, and Complexity; Vieri Benci,Paola Cerrai,Claudio Pellegrini Book 2003 Springer Science+Business Media New York 2003 E

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Mario Giacobini,Bing Xue,Luca ManzoniWe discuss the meaning of decoherence and the emergence of a classical behaviour of a quantum system in interaction with an environment. After a brief introduction to the formalism of Quantum Mechanics we present a simple two-particle model where the decoherence effect can be quantitatively evaluated.
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Mario Giacobini,Bing Xue,Luca ManzoniThe relation between microscopic and macroscopic descriptions of many-particle systems is discussed in terms of scaling laws, following the Boltzmann original ideas. Models where a complete mathematical treatment is possible are outlined.
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Some Remarks on the Arrow of Time and the Notion of InformationWe discuss the relation between the notions of information content and entropy and their relations with the problem of irreversibility. The notion of information content is not uniquely defined and we analyze various definitions and their physical meaning. We think that this analysis shed new light on the problem of irreversibility.
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