학술논문
Convergence towards the Vlasov-Poisson Equation from the $N$-Fermionic Schr\'odinger Equation
Document Type
Working Paper
Author
Source
Annales Henri Poincar\'e (2021)
Subject
Language
Abstract
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.