Results 31 to 40 of about 183,446 (320)

Prequantum classical statistical model with infinite dimensional phase-space [PDF]

open access: yes, 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
core   +1 more source

Aspects of Quantum Statistical Mechanics: Fractional and Tsallis Approaches

open access: yesMathematics, 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
doaj   +1 more source

A geometric approach to the canonical reformulation of quantum mechanics [PDF]

open access: yes, 2006
The measure of distinguishability between two neighboring preparations of a physical system by a measurement apparatus naturally defines the line element of the preparation space of the system.
Mehrafarin, Mohammad
core   +1 more source

Gibbsing spacetime: a group field theory approach to equilibrium in quantum gravity

open access: yesNew 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
doaj   +1 more source

On Quantum Statistical Mechanics: A Study Guide

open access: yesAdvances 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
doaj   +1 more source

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

Deformed Density Matrix and Generalized Uncertainty Relation in Thermodynamics [PDF]

open access: yes, 2003
A generalization of the thermodynamic uncertainty relations is proposed. It is done by introducing of an additional term proportional to the interior energy into the standard thermodynamic uncertainty relation that leads to existence of the lower limit ...
A. E. SHALYT-MARGOLIN   +6 more
core   +2 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

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

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

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