On August 30, 2023, the Multiscale Analysis, Modelling and Simulation Unit held a special lecture entitled “Mean-field limits of quantum many-body dynamics I and II”. Professor Xuwen Chen of the University of Rochester was invited as a speaker and gave two 90-minute lectures. The content of the lectures was about his research on the derivation of the nonlinear Schrodinger equation as a mean-field approximation of many-body quantum systems.
It is often considered sufficient to consider two-body interactions for quantum interactions in cooled atoms, but in this lecture, he explained that by considering three-body interactions and conducting a rigorous mathematical analysis, it is possible to express by mathematics what was not visible in physics experiments.
The lecture was very interesting and mathematically sophisticated, making effective use of complex state-of-the-art harmonic analysis techniques and combinatorics. Although the lecture was held only in person at Waseda University, discussions were lively not only among mathematics students but also among physics researchers, making the special lecture a good stimulus for the students.
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- Prof. Xuwen Chen
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- Lecture room
