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Mathematical Physics Seminar

"Bogoliubov Corrections to the Hartree Dynamics"

Soeren Petrat , Princeton University

Location:  HILL 705
Date & time: Thursday, 27 April 2017 at 2:00PM - 3:00PM

Thursday, April 27th

 

 
Time: 2:00 PM
Location: Hill 705
Abstract: We consider the dynamics of N bosons in the mean-field limit. It is well known that to leading order the N-body Schroedinger dynamics can be approximated by the Hartree equation. This talk is about the Bogoliubov approximation, which is the next-to-leading order correction that also describes the fluctuations around the mean-field Hartree state. While the Hartree approximation gives convergence in the sense of reduced densities, the Bogoliubov approximation gives convergence in the sense of the L^2 norm of the N-body Hilbert space. Here, I will present a rigorous derivation of this approximation in the most simple mean-field scaling limit.

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