数苑经纬讲坛（128）：Lieb-Thirring inequalities with inverse nearest-neighbor interactions
来源：
发布时间：2026-11-10
报告时间：- German Time: 9:00--, November 10 (Tuesday), 2026; Beijing Time: 16:00--, November 10 (Tuesday), 2026;
- 报告地点：
- Zoom 会议号: 983 309 9626 密码: 202611
- 报告人：
- Phan Thanh Nam
- 报告人单位：
- LMU Munich (Germany)
- 邀请人：
- 郭玉劲
- 摘要：
- I will discuss an analogue of the Lieb--Thirring inequality for many-body quantum systems with the repulsive interactions of the form $\sum_{i=1}^N \delta_i^{-2}$ where $\delta_i$ is the nearest-neighbor distance to the i-th point. Our result extends the standard Lieb--Thirring inequality for fermions and applies to quantum systems without the anti-symmetry assumption on the wave functions. The new inequalities lead to many interesting questions on the thermodynamic properties of the systems. The talk is based on joint work with Giao Ky Duong.
Professor Phan Thanh Nam, LMU Munich (Germany)
