Convergence towards the Vlasov-Poisson Equation from the $N$-Fermionic Schr\'odinger Equation

Autor: Chen, Li, Lee, Jinyeop, Liew, Matthew
Rok vydání: 2021
Předmět:
Zdroj: Annales Henri Poincar\'e (2021)
Druh dokumentu: Working Paper
DOI: 10.1007/s00023-021-01103-7
Popis: 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.
Databáze: arXiv