Article Contents
Article Contents

# Heisenberg picture of quantum kinetic evolution in mean-field limit

• 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.
Mathematics Subject Classification: Primary: 35Q40; Secondary: 47d06.

 Citation:

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