Event
01_1
| 제출번호(No.) | 0043 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Analysis (AN) |
| 영문제목 (Title(Eng.)) |
Rate of convergence towards Hartree dynamics with singular interaction potential |
| 저자(Author(s)) |
Li Chen1, Ji Oon Lee2, Jinyeop Lee2 University of Mannheim1, KAIST2 |
| 초록본문(Abstract) | We consider a system of $N$-Bosons with a two-body interaction potential $V \in L^2(\mathbb{R}^3)+L^\infty(\mathbb{R}^3)$, possibly singular than the Coulomb interaction. We show that, with $H^1(\mathbb{R}^3)$ initial data, the difference between the many-body Schrödinger evolution in the mean-field regime and the corresponding Hartree dynamics is of order $1/N$, for any fixed time. The $N$-dependence of the bound is optimal. |
| 분류기호 (MSC number(s)) |
81V70, 82C10, 81U30 |
| 키워드(Keyword(s)) | many-body system, Hartree dynamics, Rate of convergence |
| 강연 형태 (Language of Session (Talk)) |
Korean |