Convergence Towards the Vlasov-Poisson Equation from the N-Fermionic Schrodinger Equation

Chen, Li; Lee, Jinyeop und Liew, Matthew (2021): Convergence Towards the Vlasov-Poisson Equation from the N-Fermionic Schrodinger Equation. In: Annales Henri Poincare, Bd. 23, Nr. 2: S. 555-593

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1424-0637
• Sprache: Englisch