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Titlebook: Information Complexity and Control in Quantum Physics; Proceedings of the 4 A. Blaquiere,S. Diner,G. Lochak Conference proceedings 1987 Spr

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Thermodynamic and Informational Entropies in Quantum Mechanicsities). As is known, the idea was first initiated by L. Szilard[l] as early as 1929, resumed in 1931 by J. Von Neumann[2] in his treatise about Quantum Mechanics, and it was resumed again and more broadly developed by L. Bri11ouin[3] in 1956 after the publication of the work of C.E. Shannon[4].
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Schrödinger’s Stochastic Variational Dynamicsciated to the classical Heat equation, in such a way that their properties are as close as possible to the ones of the probabilistic concepts involved in Quantum Mechanics. It is shown, in particular, that Nelson’s stochastic Mechanics can be reinterpreted in this frame.
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An Alternative Approach to Wave Mechanics of A Particle at the Non-Relativistic Approximationcently we have been aware, thanks to J.C. Zambrini, of an article by Schrödinger published in 1932 [3], in which a model identical with ours was presented as a possible starting point for an alternative approach to wave mechanics.
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Information Theory for Quantum Systems quantities is analyzed in connection with Gibbs paradox and the maximum work obtainable from a non-equilibrium system. Indirect (generalized) vs. direct (von Neumann’s) quantum measurements are considered. It is shown that in any separable infinite-dimensional Hilbert space direct and indirect quantum measurements yield equal maximum information.
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On the Universality of the Einstein-Podolsky-Rosen Phenomenon statement of von Neumann’s theorem can be expressed by saying that any state of a composite system can be written in the form discussed by Margenau and Park in [3]. These authors also discussed how to generalize the EPR construction in the case when a Lie group is involved.
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Quantization of the Kicked Rotator With Dissipationantum map reduces to a classical map with quantum mechanically determined classical noise terms. For sufficiently small dissipation quantum mechanical interference effects render the Wigner distribution negative in some parts of phase space and prevent its interpretation in classical terms.
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