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Mean Field Asymptotic Behavior of Quantum Particles with Initial Correlations

Mathematical Physics 2015-07-07 v1 Statistical Mechanics math.MP Quantum Physics

Abstract

In the paper we consider the problem of the rigorous description of the kinetic evolution in the presence of initial correlations of quantum large particle systems. One of the developed approaches consists in the description of the evolution of quantum many-particle systems within the framework of marginal observables in mean field scaling limit. Another method based on the possibility to describe the evolution of states within the framework of a one-particle marginal density operator governed by the generalized quantum kinetic equation in case of initial states specified by a one-particle marginal density operator and correlation operators.

Keywords

Cite

@article{arxiv.1407.1633,
  title  = {Mean Field Asymptotic Behavior of Quantum Particles with Initial Correlations},
  author = {V. I. Gerasimenko},
  journal= {arXiv preprint arXiv:1407.1633},
  year   = {2015}
}

Comments

17 pages

R2 v1 2026-06-22T04:56:45.749Z