Asymptotic expansion of low-energy excitations for weakly interacting bosons

Abstract

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 $1/N$.

arXiv comment62 pages; v3: this version appeared in Forum Math. Sigma; v2: revised and extended version

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