Convergence towards the Vlasov-Poisson Equation from the $N$-Fermionic Schr\"odinger Equation
Mathematical Physics
2021-08-31 v2 math.MP
Abstract
We consider the quantum dynamics of interacting fermions in the large 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 .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.
Keywords
Cite
@article{arxiv.2104.05465,
title = {Convergence towards the Vlasov-Poisson Equation from the $N$-Fermionic Schr\"odinger Equation},
author = {Li Chen and Jinyeop Lee and Matthew Liew},
journal= {arXiv preprint arXiv:2104.05465},
year = {2021}
}