2021/04/30 by Li Chen, Jinyeop Lee, Matthew Liew
Mathematics · Physics and Astronomy · #Convergence (economics) #Coulomb #Cutoff #Fermion #Gas Dynamics and Kinetic Theory #Polynomial #Quantum #Quantum system #Semiclassical physics #Spectral Theory in Mathematical Physics #Statistical Mechanics and Entropy #math-ph #math.MP
paper · pdf · doi:10.1007/s00023-021-01103-7
published as Annales Henri Poincaré (2021)
openalex created_date 2021/04/26 · arxiv created 2021/08/30 · openalex publication_date 2021/08/30 · arxiv updated 2021/08/31 · openalex updated_date 2026/08/05
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.