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The scientific way of thinking in statistics, statistical physics and quantum mechanics [PDF]
This paper focuses on the way of thinking in both classical and modern Physics and Statistics, Statistical Mechanics or Statistical Physics and Quantum Mechanics.
Săvoiu, Gheorghe
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Why must we work in the phase space? [PDF]
, 2014 We are going to prove that the phase-space description is fundamental both in the classical and quantum physics. It is shown that many problems in statistical mechanics, quantum mechanics, quasi-classical theory and in the theory of integrable systems ...
Martens, A. +2 more
core
Understanding quantum mechanics: a review and synthesis in precise language
Open Physics, 2019 This review, of the understanding of quantum mechanics, is broad in scope, and aims to reflect enough of the literature to be representative of the current state of the subject.
Drummond Brian
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On the statistical mechanics of an adiabatic ensemble
Condensed Matter Physics, 2004 Different descriptions of an adiabatic process based on statistical thermodynamics and statistical mechanics are discussed. Equality of the so-called adiabatic and isolated susceptibilities and its generalization as well as adiabatic invariants are ...
S.N.Andreev, A.A.Rukhadze, A.A.Samokhin
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The BBGKY hierarchy in quantum statistical mechanics [PDF]
Communications in Mathematical Physics, 1973 It is shown that the infinite volume limit of the equilibrium reduced density matrices, shown by Ginibre to exist at low densities, satisfy the quantum time independent BBGKY hierarchy of equations. This extends analogous results for classical systems due to Gallavotti.
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, 1975 We show, by making use of the functional integral technique, that, for a large class of useful quantum statistical systems, the partition function is, with respect to the coupling constant, the Laplace transform of a positive measure.
D. Bessis, P. Moussa, M. Villani
semanticscholar +1 more source
The Entropy-Based Quantum Metric
Entropy, 2014 The von Neumann entropy S( D ^ ) generates in the space of quantum density matrices D ^ the Riemannian metric ds2 = −d2S( D ^ ), which is physically founded and which characterises the amount of quantum information lost by mixing D ...
Roger Balian
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Deformation quantization: Quantum mechanics lives and works in phase space
EPJ Web of Conferences, 2014 Wigner’s 1932 quasi-probability Distribution Function in phase-space, his first paper in English, is a special (Weyl) representation of the density matrix.
Zachos Cosmas K.
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Asymmetric Information and Quantization in Financial Economics
International Journal of Mathematics and Mathematical Sciences, 2012 We show how a quantum formulation of financial economics can be derived from asymmetries with respect to Fisher information. Our approach leverages statistical derivations of quantum mechanics which provide a natural basis for interpreting quantum ...
Raymond J. Hawkins, B. Roy Frieden
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Linked-Diagram Expansions for Quantum Statistical Mechanics [PDF]
, 1959 A. E. Glassgold +2 more
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