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The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics [PDF]

Entropy
We 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

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 ...
M. Takesaki, M. Winnink
semanticscholar   +5 more sources

Quantum mechanics as an asymptotic projection of statistical mechanics of classical fields: derivation of Schrödinger's, Heisenberg's and von Neumann's equations

, 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

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
semanticscholar   +3 more sources

Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction [PDF]

, 2011
These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.
V. Jaksic, Y. Ogata, Y. Pautrat, C. Pillet   +3 more
semanticscholar   +3 more sources

Graph reconstruction and quantum statistical mechanics

Journal of Geometry and Physics, 2013
10 ...
Cornelissen, Gunther, Marcolli, Matilde
openaire   +7 more sources

Non-extensive statistical mechanics and black hole entropy from quantum geometry [PDF]

Physics Letters B, 2017
Using non-extensive statistical mechanics, the Bekenstein–Hawking area law is obtained from microstates of black holes in loop quantum gravity, for arbitrary real positive values of the Barbero–Immirzi parameter (γ).
Abhishek Majhi
doaj   +2 more sources

Quantum Statistical Mechanics

, 2003
Initial questions: What holds up Jupiter's core? Does the composition matter? How conductive are white dwarf and neutron star interiors? We've talked about the interactions of photons, and (briefly) how they differ from the interactions of electrons in a
David E. Miller, Abdel Nasser Tawfik
semanticscholar   +3 more sources

Disorder-induced quantum-to-classical transition, or how the world becomes classical [PDF]

EPJ Web of Conferences, 2022
Decoherence theory explains how quantum mechanics gives rise to classical mechanics through the entanglement of a quantum system’s evolution with the degrees of freedom of the environment.
Bringuier Eric
doaj   +1 more source

Statistical mechanics model for Clifford random tensor networks and monitored quantum circuits [PDF]

Physical review B, 2021
We introduce an exact mapping of Clifford (stabilizer) random tensor networks (RTNs) and monitored quantum circuits, onto a statistical mechanics model.
Yaodong Li, R. Vasseur, M. Fisher, A. Ludwig   +3 more
semanticscholar   +1 more source