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Quantum Mechanics: Statistical Balance Prompts Caution in Assessing Conceptual Implications
Throughout quantum mechanics there is statistical balance, in the collective response of an ensemble of systems to differing measurement types. Statistical balance is a core feature of quantum mechanics, underlying quantum mechanical states, and not yet ...
Brian Drummond
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Given the algebra of observables of a quantum system subject to selection rules, a state can be represented by different density matrices. As a result, different von Neumann entropies can be associated with the same state.
Paolo Facchi +2 more
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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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Heat-exchange statistics in driven open quantum systems
As the dimensions of physical systems approach the nanoscale, the laws of thermodynamics must be reconsidered due to the increased importance of fluctuations and quantum effects.
S Gasparinetti +3 more
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Probability, Entropy, and Gibbs’ Paradox(es)
Two distinct puzzles, which are both known as Gibbs’ paradox, have interested physicists since they were first identified in the 1870s. They each have significance for the foundations of statistical mechanics and have led to lively discussions with
Robert H. Swendsen
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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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Statistical origin of quantum mechanics [PDF]
The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. Within this framework, the scenario of a subquantum structure for the quantum particle, emerges naturally, providing an ontological support to the orthodox quantum mechanics.
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Analysis of contribution of matrix mechanics on quantum mechanics [PDF]
In this paper the analysis and discussion about the contribution made by matrix mechanics, i.e. the establishment of complex form of quantum mechanics and the proposal of mathematic formalism of uncertainty principle, to the development of quantum ...
Ren Zhi
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Classical phase space and statistical mechanics of identical particles [PDF]
Starting from the quantum theory of identical particles, we show how to define a classical mechanics that retains information about the quantum statistics.
A. Comtet +33 more
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The Statistical Origins of Quantum Mechanics [PDF]
It is shown that Schrödinger's equation may be derived from three postulates. The first is a kind of statistical metamorphosis of classical mechanics, a set of two relations which are obtained from the canonical equations of particle mechanics by replacing all observables by statistical averages.
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