Oct 29, 2020
Asymptotic expansion of the low-energy excitations for weakly interacting bosons
MATHPHYS ANALYSIS SEMINAR
Date: October 29, 2020 |
4:15 pm –
Speaker: Lea Bossmann, IST Austria
Location: online via Zoom
We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in 1/N. This is joint work with Sören Petrat and Robert Seiringer.