Results 21 to 30 of about 11,647 (256)
Local normality in Quantum Statistical Mechanics [PDF]
Communications in Mathematical Physics, 1973 It is shown that K.M.S.-states are locally normal on a great number ofC*-algebras that may be of interest in Quantum Statistical Mechanics. The lattice structure and the Choquet-simplex structure of various sets of states are investigated. In this respect special attention is payed to the interplay of the K.M.S.-automorphism group with other ...
Takesaki, Masamichi, Winnink, Marinus
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Entropy, 2021 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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Heat-exchange statistics in driven open quantum systems
New Journal of Physics, 2014 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)
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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Statistical origin of quantum mechanics [PDF]
Physica A: Statistical Mechanics and its Applications, 2002 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]
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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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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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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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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