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Open Quantum Systems Decoherence

Quantum Kinetic Evolution of Marginal Observables

arXiv
Authors: V. I. Gerasimenko

Year

2010

Paper ID

11346

Status

Preprint

Abstract Read

~2 min

Abstract Words

89

Citations

N/A

Abstract

We develop a rigorous formalism for the description of the evolution of observables of quantum systems of particles in the mean-field scaling limit. The corresponding asymptotics of a solution of the initial-value problem of the dual quantum BBGKY hierarchy is constructed. Moreover, links of the evolution of marginal observables and the evolution of quantum states described in terms of a one-particle marginal density operator are established. Such approach gives the alternative description of the kinetic evolution of quantum many-particle systems to generally accepted approach on basis of kinetic equations.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We develop a rigorous formalism for the description of the evolution of observables of quantum systems of particles in the mean-field scaling limit.

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