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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

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.


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