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

Chen, Li; Lee, Jinyeop and Liew, Matthew (2021): Convergence Towards the Vlasov-Poisson Equation from the N-Fermionic Schrodinger Equation. In: Annales Henri Poincare, Vol. 23, No. 2: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1424-0637
• Language: English