From the Hartree dynamics to the Vlasov equation

TY - JOUR

T1 - From the Hartree dynamics to the Vlasov equation

AU - Benedikter, Niels Patriz

AU - Porta, Marcello

AU - Saffirio, Chiara

AU - Schlein, Benjamin

PY - 2016/7/1

Y1 - 2016/7/1

N2 - We consider the evolution of quasi-free states describing N fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large N, we study the convergence towards the classical Vlasov equation. For a class of regular interaction potentials, we establish precise bounds on the 0rate of convergence.

AB - We consider the evolution of quasi-free states describing N fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large N, we study the convergence towards the classical Vlasov equation. For a class of regular interaction potentials, we establish precise bounds on the 0rate of convergence.

U2 - 10.1007/s00205-015-0961-z

DO - 10.1007/s00205-015-0961-z

M3 - Journal article

SN - 0003-9527

VL - 221

SP - 273

EP - 334

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 1

ER -