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arXiv · 2006.09825

Asymptotic expansion of low-energy excitations for weakly interacting bosons

Lea Boßmann·Sören Petrat·Robert Seiringer
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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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Lea Boßmann, Sören Petrat, Robert Seiringer. 2022-03-28. Asymptotic expansion of low-energy excitations for weakly interacting bosons. https://doi.org/10.1017/fms.2021.22

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