Results 31 to 40 of about 184,756 (321)

Typical = Random

open access: yesAxioms, 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
doaj   +1 more source

The structure of classical extensions of quantum probability theory [PDF]

open access: yes, 2007
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
core   +3 more sources

Quantropy

open access: yesEntropy, 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
doaj   +1 more source

Reworking Zubarev’s Approach to Nonequilibrium Quantum Statistical Mechanics

open access: yesParticles, 2019
In this work, the nonequilibrium density operator approach introduced by Zubarev more than 50 years ago to describe quantum systems at a local thermodynamic equilibrium is revisited.
Francesco Becattini   +2 more
doaj   +1 more source

Generalization of Classical Statistical Mechanics to Quantum Mechanics and Stable Property of Condensed Matter

open access: yes, 2005
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
core   +1 more source

Quantum Monte Carlo Methods in Statistical Mechanics [PDF]

open access: yes, 1999
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
core   +3 more sources

Equilibration of quantum gases

open access: yesNew Journal of Physics, 2016
Finding equilibration times is a major unsolved problem in physics with few analytical results. Here we look at equilibration times for quantum gases of bosons and fermions in the regime of negligibly weak interactions, a setting which not only includes ...
Terry Farrelly
doaj   +1 more source

Quantum Chaos and Statistical Mechanics

open access: yes, 1994
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
core   +1 more source

Classical phase space and statistical mechanics of identical particles [PDF]

open access: yes, 2000
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
core   +2 more sources

Quantum mechanics as an approximation of statistical mechanics for classical fields

open access: yes, 2005
We show that, in spite of a rather common opinion, quantum mechanics can be represented as an approximation of classical statistical mechanics. The approximation under consideration is based on the ordinary Taylor expansion of physical variables.
Khrennikov, Andrei
core   +4 more sources

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