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  1. Propensity, Probability, and Quantum Theory.Leslie E. Ballentine - 2016 - Foundations of Physics 46 (8):973-1005.
    Quantum mechanics and probability theory share one peculiarity. Both have well established mathematical formalisms, yet both are subject to controversy about the meaning and interpretation of their basic concepts. Since probability plays a fundamental role in QM, the conceptual problems of one theory can affect the other. We first classify the interpretations of probability into three major classes: inferential probability, ensemble probability, and propensity. Class is the basis of inductive logic; deals with the frequencies of events in repeatable experiments; describes (...)
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  • (1 other version)Collimation processes in quantum mechanics interpreted in quantum real numbers.John Vincent Corbett & Thomas Durt - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (1):68-83.
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  • Classicality without Decoherence: A Reply to Schlosshauer. [REVIEW]Leslie Ballentine - 2008 - Foundations of Physics 38 (10):916-922.
    Schlosshauer has criticized the conclusion of Wiebe and Ballentine (Phys. Rev. A 72:022109, 2005) that decoherence is not essential for the emergence of classicality from quantum mechanics. I reply to the issues raised in his critique, which range from the interpretation of quantum mechanics to the criterion for classicality, and conclude that the role of decoherence in these issues is much more restricted than is often claimed.
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  • Atomic quantum zeno effect for ensembles and single systems.Almut Beige, Gerhard C. Hegerfeldt & Dirk G. Sondermann - 1997 - Foundations of Physics 27 (12):1671-1688.
    The so-called quantum Zeno effect is essentially a consequence of the projection postulate for ideal measurements. To test the effect, Itanoet al. have performed an experiment on an ensemble of atoms where rapidly repeated level measurements were realized by means of short laser pulses. Using dynamical considerations, we give an explanation why the projection postulate can be applied in good approximation to such measurements. Corrections to ideal measurements are determined explicitly. This is used to discuss how far the experiment of (...)
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  • Quantum/classical correspondence in the light of Bell's inequalities.Leonid A. Khalfin & Boris S. Tsirelson - 1992 - Foundations of Physics 22 (7):879-948.
    Instead of the usual asymptotic passage from quantum mechanics to classical mechanics when a parameter tended to infinity, a sharp boundary is obtained for the domain of existence of classical reality. The last is treated as separable empirical reality following d'Espagnat, described by a mathematical superstructure over quantum dynamics for the universal wave function. Being empirical, this reality is constructed in terms of both fundamental notions and characteristics of observers. It is presupposed that considered observers perceive the world as a (...)
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  • (1 other version)Collimation processes in quantum mechanics interpreted in quantum real numbers.John Vincent Corbett & Thomas Durt - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (1):68-83.
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  • Delayed-choice experiments and retroactive apparent occurrence in the quantum theory of measurement.Fedor Herbut - 1994 - Foundations of Physics 24 (1):117-137.
    The concept of retroactive apparent occurrence, the main ingredient of Wheeler's delayed-choice thought experiments, is systematically incorporated into the quantum theory of measurement (in the framework of the recent review of Busch, Lahti, and Mittelstaedt). Besides, the (general) notion of individual-system measurement is introduced, and, due to it, premeasurement is defined by a truly minimal condition. Finally, retroactive apparent occurrence is made use of to derive apparent objectification in measurement. The derivation is discussed in the framework of the quantum mechanical (...)
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  • Interpretation of the hydrodynamical formalism of quantum mechanics.Sebastiano Sonego - 1991 - Foundations of Physics 21 (10):1135-1181.
    The hydrodynamical formalism for the quantum theory of a nonrelativistic particle is considered, together with a reformulation of it which makes use of the methods of kinetic theory and is based on the existence of the Wigner phase-space distribution. It is argued that this reformulation provides strong evidence in favor of the statistical interpretation of quantum mechanics, and it is suggested that this latter could be better understood as an almost classical statistical theory. Moreover, it is shown how, within this (...)
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  • Can one detect the state of an individual system?L. E. Ballentine - 1992 - Foundations of Physics 22 (3):333-342.
    Some interpretations of quantum mechanics regard a mixed quantum state as a ensemble, each individual member of which has a definite but unknown state vector. Other interpretations ascribe a state vector only to anensemble of similarly prepared systems, but not to anindividual. Previous attempts to detect the hypothetical individual state vectors have failed, essentially because the state operator enters the relevant equations linearly. An example from nonlinear dynamics, in which a density matrix enters nonlinearly, is examined because it might appear (...)
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