Foundations of Physics 36 (6):920-952 (2006)

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Abstract
Our account of the problem of the classical limit of quantum mechanics involves two elements. The first one is self-induced decoherence, conceived as a process that depends on the own dynamics of a closed quantum system governed by a Hamiltonian with continuous spectrum; the study of decoherence is addressed by means of a formalism used to give meaning to the van Hove states with diagonal singularities. The second element is macroscopicity represented by the limit $\hbar \rightarrow 0$ : when the macroscopic limit is applied to the Wigner transformation of the diagonal state resulting from decoherence, the description of the quantum system becomes equivalent to the description of an ensemble of classical trajectories on phase space weighted by their corresponding probabilities
Keywords classical limit  Riemann–Lebesgue lemma  decoherence
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DOI 10.1007/s10701-006-9074-8
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References found in this work BETA

Self-Induced Decoherence: A New Approach.Mario Castagnino & Olimpia Lombardi - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (1):73-107.
Self-Induced Decoherence: A New Approach.Mario Castagnino & Olimpia Lombardi - 2003 - Studies in History and Philosophy of Modern Physics 35 (1):73-107.
Self-Induced Decoherence: A New Approach.Mario Castagnino & Olimpia Lombardi - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (1):73-107.

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Citations of this work BETA

A Modal-Hamiltonian Interpretation of Quantum Mechanics.Olimpia Lombardi & Mario Castagnino - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):380-443.
A Modal-Hamiltonian Interpretation of Quantum Mechanics.Olimpia Lombardi & Mario Castagnino - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):380-443.
Non-Integrability and Mixing in Quantum Systems: On the Way to Quantum Chaos.Mario Castagnino & Olimpia Lombardi - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (3):482-513.

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