Quantum Kinetic Evolution of Marginal Observables

Details Quantum Kinetic Evolution of Marginal Observables Quantum Kinetic Evolution of Marginal Observables

2010-09-09

arxiv.org/abs/1009.1814v1

Kinet. Relat. Models 4 (1) (2011) 385-399

Physics

Mathematical Physics

18 pages

Scientific paper

10.3934/krm.2011.4.385

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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