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
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Robert Seiringer
Contact
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.