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Asymptotic expansion of low-energy excitations for weakly interacting bosons (2006.09825v3)
Published 17 Jun 2020 in math-ph, cond-mat.quant-gas, and math.MP
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 $1/N$.
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