数物系科学拠点では、国際教育活動の一環として下記特別講義を開催します。本講義では、離散ミクロモデルから連続マクロモデルの導出方法を最近の研究結果も含んだ形で基本から解説します。
日程
2023年8月30日
- 10:00 – 11:30 Lecture I
- 14:00 – 15:30 Lecture II
会場
早稲田大学西早稲田キャンパス 62W号館 1階 大会議室A（東側）
題目／講演概要
Mean-field limits of quantum many-body dynamics I and II
【講演概要】
The rigorous justification of mean-field type equations (Boltzmann, Vlasov-Poisson, nonlinear Schrödinger…) from the many-body systems they are supposed to describe is a vast and fundamental subject. In these two lectures, we survey the mathematical achievements in the quantum aspect of the area, mainly regarding the nonlinear Schrödinger equation (NLS). Since the Nobel Prize winning first observation of Bose-Einstein condensation (BEC), the investigation of the new state of matter and thus NLS has become a research hot spot and seen vast developments in recent years. At the same time, the study of many-body dynamics feeds back into the study of the corresponding mean-field equations. We discuss such a derivation in the energy-critical setting which also yields a solution to a problem raised by T. Kato.
講師
Xuwen Chen ( Department of Mathematics, University of Rochester, Professor)
言語
英語
対象
学生、研究者
事前登録
不要
お問合せ
早稲田大学 基幹理工学部 数学科 福泉麗佳 教授
fukuizumi [AT] waseda.jp
