Reworking Zubarev’s Approach to Nonequilibrium Quantum Statistical Mechanics
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
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On Quantum Statistical Mechanics: A Study Guide [PDF]
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
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GENERALIZATION OF CLASSICAL STATISTICAL MECHANICS TO QUANTUM MECHANICS AND STABLE PROPERTY OF CONDENSED MATTER [PDF]
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
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Emergence of quantum mechanics from a sub-quantum statistical mechanics [PDF]
A research program within the scope of theories on "Emergent Quantum Mechanics" is presented, which has gained some momentum in recent years. Via the modeling of a quantum system as a non-equilibrium steady-state maintained by a permanent throughput of ...
Gerhard Groessing
semanticscholar +6 more sources
Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction [PDF]
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
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The Born Rule—100 Years Ago and Today [PDF]
The 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
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The Quantum Relative Entropy of the Schwarzschild Black Hole and the Area Law [PDF]
The area law obeyed by the thermodynamic entropy of black holes is one of the fundamental results relating gravity to statistical mechanics. In this work, we provide a derivation of the area law for the quantum relative entropy of the Schwarzschild black
Ginestra Bianconi
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SPIN GLASS A BRIDGE BETWEEN QUANTUM COMPUTATION AND STATISTICAL MECHANICS [PDF]
We show two fascinating topics lying between quantum information processing and statistical mechanics. First, we introduce an elaborated technique, the surface code, to prepare the particular quantum state with robustness against decoherence. Second, we show another interesting technique to employ quantum nature, quantum annealing.
Masayuki Ohzeki
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STATISTICAL MECHANICS OF CONFINED QUANTUM PARTICLES [PDF]
We develop statistical mechanics and thermodynamics of Bose and Fermi systems in relativistic harmonic oscillator (RHO) confining potential, which is applicable in quark gluon plasma (QGP), astrophysics, Bose–Einstein condensation (BEC) etc. Detailed study of QGP system is carried out and compared with lattice results.
K. M. Udayanandan, Vishnu M. Bannur
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Quantum Approach to Classical Statistical Mechanics [PDF]
4 pages, no ...
Gerardo Ortiz+2 more
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