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Generalization of quantum statistics in statistical mechanics
International Journal of Theoretical Physics, 1993We propose a generalization of quantum statistics in the framework of statistical mechanics. We derive a general formula which involves a wide class of equilibrium quantum statistical distributions, including the Bose and Fermi distributions. We suggest a way of evaluating the statistical distributions with the help of many-particle partition functions
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Measurement in quantum mechanics and classical statistical mechanics
Physics Letters A, 1992Abstract It is shown that the uncertainties (ΔP)2 and (ΔQ)2 in momentum and positiion of a quantum particle can always be expressed as the sum of a classical term and a quantum term. For quantum states characterized by a product ΔPΔQ〉h it is always possible to reduce the uncertainty in both P and Q by performing measurements of both of them with ...
Cini M, SERVA, Maurizio
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Mean Entropy of States in Quantum‐Statistical Mechanics
, 1968The equilibrium states for an infinite system of quantum mechanics may be represented by states over suitably chosen C* algebras. We consider the problem of associating an entropy with these states and finding its properties, such as positivity ...
O. Lanford, D. W. Robinson
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, 1999
A formulation of quantum statistical mechanics is discussed in which the Feynman path centroid density in Feynman path integration is recast as the central statistical distribution used to average equilibrium and dynamical quantities. In this formulation,
Scizntific Officer, Gregory, A., Voth
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A formulation of quantum statistical mechanics is discussed in which the Feynman path centroid density in Feynman path integration is recast as the central statistical distribution used to average equilibrium and dynamical quantities. In this formulation,
Scizntific Officer, Gregory, A., Voth
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Statistical mechanics and the quantum friction
Physics Letters A, 1980Abstract In this paper we calculate the density matrix for quantum-mechanical systems where the hamiltonian is similar to that of Caldirola-Kanai. For the case where the friction is a linear function of the velocity with a friction constant γ, we can calculate exactly the density matrix and the partition function of the harmonic oscillator and the ...
V. Papatheou+2 more
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Statistical origin of classical mechanics and quantum mechanics
Physical Review Letters, 1993The classical action for interacting strings, obtained by generalizing the time-symmetric electrodynamics of Wheeler and Feynman, is exactly additive. The additivity of the string action suggests a connection between the area of the string world sheets and entropy. We find that the action principle of classical mechanics is the condition that the total
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Operator Algebras And Quantum Statistical Mechanics
, 1979O. Bratteli
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Elements of Quantum Mechanics and Statistical Mechanics
1991It was said in the introduction that statistical thermodynamics derives the macroscopic thermodynamic functions of a system from the properties of its molecules. The properties of individual molecules as well as the intermolecular interactions between them are described by a particular theory, i.e. quantum mechanics.
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