Mini-course on Quantum Many Particle Systems
Time: 2024-10-17
Published By: Xiaoni Tan
Speaker(s): Phan Thanh Nam (LMU Munich)
Time: 14:00-16:00 October 17, 2024
Venue: Online
Mini-course on Quantum Many Particle Systems
Speaker: Phan Thanh Nam (LMU Munich)
Part I: 2 pm- 4 pm, Oct. 17 (Thursday), 2024.
Title: Mathematics of the Bose-Einstein condensation
Abstract: While the ideal Bose gas has been well understood since the pioneering work of Bose and Einstein in 1924, the rigorous mathematical understanding of the Bose-Einstein phase transition for interacting Bose gases remains a major challenge. I will present a systematic approach to investigating the Bose-Einstein condensation in the mean-field regime, utilizing quantum de Finetti theorems as a key tool in the analysis.
Zoom Link:
https://lmu-munich.zoom-x.de/j/9685196209?pwd=Y0V3N0EvcktBZ0UreG5KeituZVRxUT09&omn=68200398224
Meeting ID: 968 519 6209
Passcode: 777444
Part II: 2 pm- 4 pm, Oct. 18 (Friday), 2024.
Title: Semiclassical estimates for Schrödinger operators
Abstract: In the study of Schrödinger operators, semiclassical estimates are essential for understanding the behavior of large quantum particles. This provides a remarkable illustration of the correspondence principle, which says that quantum systems should resemble their classical counterparts in the limit of a small Planck constant. In this talk, I will present rigorous estimates in this direction, with a focus on the Lieb-Thirring inequalities and their applications to the stability of matter, as well as the structure of large atoms and molecules.
Zoom Link:
https://lmu-munich.zoom-x.de/j/9685196209?pwd=Y0V3N0EvcktBZ0UreG5KeituZVRxUT09&omn=62235238062
Meeting ID: 968 519 6209
Passcode: 777444
