数学研究所

调和分析及其应用研究中心

学术报告

偏微分方程研讨班

Speaker: 陈丽 教授 (德国 曼海姆大学)

Inviter: 郝成春 研究员

Language: Chinese

Title: A mixed-norm estimate of two-particle reduced density matrix of many-body Schrödinger dynamics

Time&Venue: 2025年3月30日（星期日）9:00-10:00& 南楼N702

Abstract: We re-examine the combined semi-classical and mean-field limit in the N-body fermionic Schrödinger equation with pure state initial data using the Husimi measure framework. The Husimi measure equation involves three residue types: kinetic, semiclassical, and mean-field. The main result of this paper is to provide better estimates for the kinetic and mean-field residue than those in Chen et al. (J Stat Phys 182(2):1–41, http://arxiv.org/abs/1910.09892v4, 2021). Especially, the estimate for the mean-field residue is shown to be smaller than the semiclassical residue by a mixed-norm estimate of the two-particle reduced density matrix factorization. Our analysis also updates the oscillation estimate parts in the residual term estimates appeared in Chen et al. (J Stat Phys 182(2):1–41, http://arxiv.org/abs/1910.09892v4, 2021).