Dec 17, 2024
Derivation of the Gross-Pitaevskii Dynamics through Renormalized Excitation Number Operators
Mathphys Analysis Seminar
Date: December 17, 2024 |
3:30 pm –
4:30 pm
Speaker:
Christian Brennecke, University of Bonn
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language:
English
In this talk I will present a new derivation of the time-dependent Gross-Pitaveskii equation from a system of interacting bosons in $\mathbb{R}^3$. Our derivation is based on a simple Gronwall estimate for suitably renormalized excitation number operators and yields optimal convergence rates. I will conclude the talk with some related open questions on the quasi-free approximation of the many-body dynamics. The talk is based on joint works with W. Kroschinsky and B. Schlein.
