Results 51 to 60 of about 153,609 (340)
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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A note on the Landauer principle in quantum statistical mechanics [PDF]
, 2014 The Landauer principle asserts that the energy cost of erasure of one bit of information by the action of a thermal reservoir in equilibrium at temperature T is never less than kT log 2.
V. Jaksic, C. Pillet
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Colloquium : Statistical mechanics and thermodynamics at strong coupling: Quantum and classical [PDF]
, 2019 The question of how classical systems approach thermal equilibrium is as old as the foundations of thermodynamics and statistical mechanics. How quantum systems decohere and thermalize is even more puzzling. This Colloquium provides an account of how the
P. Talkner, P. Hänggi
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The Statistical Origins of Quantum Mechanics [PDF]
Physics Research International, 2010 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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PT symmetry in classical and quantum statistical mechanics [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2012 -symmetric Hamiltonians and transfer matrices arise naturally in statistical mechanics. These classical and quantum models often require the use of complex or negative weights and thus fall outside the conventional equilibrium statistical mechanics of ...
Peter N. Meisinger, M. Ogilvie
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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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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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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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