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Quantum Chaos and Statistical Mechanics [PDF]

Annals of the New York Academy of Sciences, 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.
Berry, Berry, Berry, Sinai, Srednicki
arxiv   +7 more sources

Zeno Dynamics in Quantum Statistical Mechanics [PDF]

Journal of Physics A: Mathematical and General, 2002
We study the quantum Zeno effect in quantum statistical mechanics within the operator algebraic framework. We formulate a condition for the appearance of the effect in W*-dynamical systems, in terms of the short-time behaviour of the dynamics.
Andreas U Schmidt, Bratteli O, Facchi P, Facchi P, Facchi P, Fannes M, Misra B, Nakazato H, Raggio G A, Robinson D W, Schmidt A U   +10 more
core   +16 more sources

Statistical Origin of Quantum Mechanics [PDF]

Physica A: Statistical Mechanics and its Applications, 2001
The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. Within this framework, the scenario of a subquantum structure for the quantum particle, emerges naturally, providing an ontological support ...
Aldrovandi, Bohm, Bohm, Bohm, Dankel, Davies, de Broglie, Fenyes, G. Kaniadakis, Garbaczewski, Garbaczewski, Ghosh, Gilson, Glassey, Hajra, Holland, Janossy, Janossy, Kan, Kershaw, Lafferty, Liboff, Madelung, Namsrai, Namsrai, Nelson, Nicholson, Reginatto, Sonego, Takabayasi, Takabayasi, Takabayasi, Wallstrom, Wallstrom, Wallstrom, Wilhelm, Wong   +36 more
core   +7 more sources

Statistical Geometry in Quantum Mechanics [PDF]

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1997
A statistical model M is a family of probability distributions, characterised by a set of continuous parameters known as the parameter space.
Bhattacharyya A., Brody D. C., Burbea J., Dawid A. P., Dorje C. Brody, Lane P. Hughston, Rao C. R., Yuen H. P.   +7 more
core   +5 more sources

Quantum Statistical Mechanics on a Quantum Computer [PDF]

Progress of Theoretical Physics Supplement, 2000
We describe a quantum algorithm to compute the density of states and thermal equilibrium properties of quantum many-body systems. We present results obtained by running this algorithm on a software implementation of a 21-qubit quantum computer for the case of an antiferromagnetic Heisenberg model on triangular lattices of different size.
Hans De Raedt, Anthony Hams, Kristel Michielsen, Seiji Miyashita, Keiji Saito   +4 more
openalex   +4 more sources

The statistical origins of quantum mechanics [PDF]

Physics Research International, 2010
It is shown that Schroedinger's equation may be derived from three postulates. The first is a kind of statistical metamorphosis of classical mechanics, a set of two relations which are obtained from the canonical equations of particle mechanics by ...
Klein, U.
core   +5 more sources

Fractional Quantum Mechanics [PDF]

Physical Review E62 (Sept 2000) 3135-3145, 2008
A path integral approach to quantum physics has been developed. Fractional path integrals over the paths of the L\'evy flights are defined. It is shown that if the fractality of the Brownian trajectories leads to standard quantum and statistical mechanics, then the fractality of the L\'evy paths leads to fractional quantum mechanics and fractional ...
A. I. Saichev, B. B. Mandelbrot, B. J. West, B. J. West, C. Fox, C. W. Gardiner, G. M. Zaslavsky, G. Zimbardo, H. Kleinert, J. Feder, J. Klafter, K. B. Oldham, N. Laskin, N. Wiener, Nick Laskin, R. N. Mantega, R. P. Feynman, R. P. Feynman, V. Heisenberg   +18 more
arxiv   +3 more sources

On Quantum Statistical Mechanics: A Study Guide [PDF]

Advances 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   +5 more sources

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

, 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., Anastopoulos C., Ballentine L. E., Curtright T., Eisenberg E., F. C. MA, Halliwell J. J., Harrison W. A., Holstein B. R., Isidro J. M., Jorgensen P. E. T., Liu Q. H., Marnelius R., N. ZHANG, Oh P., Prezhdo O. V., Schiff L. I., Tsiper E. V., Y. C. HUANG   +18 more
core   +2 more sources

The Quantum Relative Entropy of the Schwarzschild Black Hole and the Area Law [PDF]

Entropy
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
doaj   +2 more sources