Results 21 to 30 of about 184,860 (271)
Probability, Entropy, and Gibbs’ Paradox(es)
Entropy, 2018 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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Analysis of contribution of matrix mechanics on quantum mechanics [PDF]
EPJ Web of ConferencesIn 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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Probability in Orthodox Quantum Mechanics: Probability as a Postulate Versus Probability as an Emergent Phenomenon [PDF]
, 2000 The role of probability in quantum mechanics is reviewed, with a discussion of the ``orthodox'' versus the statistical interpretive frameworks, and of a number of related issues. After a brief summary of sources of unease with quantum mechanics, a survey
A. J. Leggett +14 more
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Prequantum classical statistical model with infinite dimensional phase-space [PDF]
, 2005 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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Aspects of Quantum Statistical Mechanics: Fractional and Tsallis Approaches
Mathematics, 2023 We investigated two different approaches, which can be used to extend the standard quantum statistical mechanics. One is based on fractional calculus, and the other considers the extension of the concept of entropy, i.e., the Tsallis statistics.
Ervin Kaminski Lenzi +2 more
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Quantum theory: the role of microsystems and macrosystems [PDF]
, 2007 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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On Quantum Statistical Mechanics: A Study Guide
Advances in Mathematical Physics, 2017 We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum
Wladyslaw Adam Majewski
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Axioms, 2023 This expository paper advocates an approach to physics in which “typicality” is identified with a suitable form of algorithmic randomness. To this end various theorems from mathematics and physics are reviewed.
Klaas Landsman
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Gibbsing spacetime: a group field theory approach to equilibrium in quantum gravity
New Journal of Physics, 2018 The symmetries, subtle nature of observables, and lack of a preferred notion of time evolution all make defining a quantum statistical mechanics of general relativity difficult.
Hal M Haggard
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Entropy, 2015 There is a well-known analogy between statistical and quantum mechanics. In statistical mechanics, Boltzmann realized that the probability for a system in thermal equilibrium to occupy a given state is proportional to \(\exp(-E/kT)\), where \(E\) is the ...
John C. Baez, Blake S. Pollard
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