ENTROPIC FUNCTIONALS IN QUANTUM STATISTICAL MECHANICS [PDF]
, 2013 We describe quantum entropic functionals and outline a research program dealing with entropic fluctuations in non-equilibrium quantum statistical mechanics.
Vojkan Jakšić, Claude‐Alain Pillet
semanticscholar +8 more sources
Many-Body Localization and Thermalization in Quantum Statistical Mechanics [PDF]
, 2014 We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-
R. Nandkishore, D. Huse
semanticscholar +3 more sources
Reworking Zubarev’s Approach to Nonequilibrium Quantum Statistical Mechanics
Particles, 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 +2 more sources
GENERALIZATION OF CLASSICAL STATISTICAL MECHANICS TO QUANTUM MECHANICS AND STABLE PROPERTY OF CONDENSED MATTER [PDF]
, 2004 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 ...
Y. C. HUANG, F. C., N. ZHANG
openalex +3 more sources
Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction [PDF]
Nature Communications, 2017 Where does quantum mechanics part ways with classical statistical mechanics? Here the authors derive both within a common framework; the former differs from the latter by an ontic nonseparable random variable and a restriction on the allowed phase space ...
Agung Budiyono, Daniel Rohrlich
doaj +2 more sources
, 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.
Andrei Khrennikov
openalex +7 more sources
The Born Rule—100 Years Ago and Today [PDF]
EntropyThe details of the contents and formulations of the Born rule have changed considerably from its inception by Born in 1926 to the present day. This paper traces the early history of the Born rule 100 years ago, its generalization (essential for today’s ...
Arnold Neumaier
doaj +2 more sources
The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics [PDF]
EntropyWe show that the theory of quantum statistical mechanics is a special model in the framework of the quantum probability theory developed by mathematicians, by extending the characteristic function in the classical probability theory to the quantum ...
Yan Gu, Jiao Wang
doaj +2 more sources
Non-extensive statistical mechanics and black hole entropy from quantum geometry [PDF]
Physics Letters B, 2017 Using non-extensive statistical mechanics, the BekensteinâHawking area law is obtained from microstates of black holes in loop quantum gravity, for arbitrary real positive values of the BarberoâImmirzi parameter (γ).
Abhishek Majhi
doaj +2 more sources
Entropic fluctuations in quantum statistical mechanics—an introduction [PDF]
, 2012 These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.
Vojkan Jakšić +3 more
openalex +3 more sources