Asymptotic expansion of low-energy excitations for weakly interacting bosons

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/...

Full description

Bibliographic Details
Main Authors: Lea Boßmann, Sören Petrat, Robert Seiringer
Format: Article
Language:English
Published: Cambridge University Press 2021-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509421000220/type/journal_article