Abstract
AbstractWe consider the quantum dynamics of N interacting fermions in the large N limit. The particles in the system interact with each other via repulsive interaction that is regularized Coulomb potential with a polynomial cutoff with respect to N. From the quantum system, we derive the Vlasov–Poisson system by simultaneously estimating the semiclassical and mean-field residues in terms of the Husimi measure.
Funder
Samsung Science and Technology Foundation
National Research Foundation of Korea
Deutsche Forschungsgemeinschaft
Landesgraduiertenfoerderung of Baden-Württemberg.
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics
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