Asymptotic expansion of the low-energy excitations for weakly interacting bosons
MATHPHYS ANALYSIS SEMINAR
Date:
Thursday, October 29, 2020 16:15 - 17:15
Speaker:
Lea Bossmann (IST Austria)
Location:
online via Zoom
Series:
Mathematics and CS Seminar
Host:
Robert Seiringer
Contact:
Birgit Oosthuizen-Noczil
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.