Convergence Towards the Vlasov–Poisson Equation from the N-Fermionic Schrödinger Equation

被引：0
|
作者：
Li Chen
Jinyeop Lee
Matthew Liew
机构：
[1] Universität Mannheim,Institut für Mathematik
[2] Korea Institute for Advanced Study,School of Mathematics
[3] Ludwig-Maximilians-Universität München,Mathematisches Institut
来源：
Annales Henri Poincaré | 2022年 / 23卷
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摘要：
We 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.
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页码：555 / 593
页数：38
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