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Thermodynamics for Trajectories of a Mass Point [PDF]
On the basis of information theory, a new formalism of classical non-relativistic mechanics of a mass point is proposed. The particle trajectories of a general dynamical system defined on an (1+n)-dimensional smooth manifold are treated geometrically as ...
Kurihara, Yoshimasa +2 more
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Quantum theory: the role of microsystems and macrosystems [PDF]
We stress the notion of statistical experiment, which is mandatory for quantum mechanics, and recall Ludwig's foundation of quantum mechanics, which provides the most general framework to deal with statistical experiments giving evidence for particles ...
Adler S L +29 more
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Prequantum classical statistical model with infinite dimensional phase-space [PDF]
We show that quantum mechanics can be represented as an asymptotic projection of statistical mechanics of classical fields. Thus our approach does not contradict to a rather common opinion that quantum mechanics could not be reduced to statistical ...
Khrennikov, Andrei
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Subdynamics as a mechanism for objective description [PDF]
The relationship between microsystems and macrosystems is considered in the context of quantum field formulation of statistical mechanics: it is argued that problems on foundations of quantum mechanics can be solved relying on this relationship.
Bassano Vacchini +9 more
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Quantum Monte Carlo Methods in Statistical Mechanics [PDF]
This paper deals with the optimization of trial states for the computation of dominant eigenvalues of operators and very large matrices. In addition to preliminary results for the energy spectrum of van der Waals clusters, we review results of the ...
Melik-Alaverdian, Vilen +1 more
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The structure of classical extensions of quantum probability theory [PDF]
On the basis of a suggestive definition of a classical extension of quantum mechanics in terms of statistical models, we prove that every such classical extension is essentially given by the so-called Misra–Bugajski reduction map.
Beltrametti E. G. +7 more
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Classical statistical average values are generally generalized to average values of quantum mechanics, it is discovered that quantum mechanics is direct generalization of classical statistical mechanics, and we generally deduce both a new general ...
Anandan J. +18 more
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Quantum Chaos and Statistical Mechanics
We briefly review the well known connection between classical chaos and classical statistical mechanics, and the recently discovered connection between quantum chaos and quantum statistical mechanics.Comment: talk given at the Conference on Fundamental ...
Berry, Berry, Berry, Sinai, Srednicki
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