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/N.

Automated summary

In the mean-field scaling regime, we consider a system of N bosons with a class of interactions including the repulsive Coulomb potential. By deriving an asymptotic expansion of low-energy eigenstates and corresponding energies, we provide corrections to Bogoliubov theory to any order in 1/N.