Geodesic
Asymptotic expansion of low-energy excitations for weakly interacting bosons
Forum of Mathematics, Sigma, Tome 9 (2021)

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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 $1/N$. 
@article{10_1017_fms_2021_22,
     author = {Lea Bo{\ss}mann and S\"oren Petrat and Robert Seiringer},
     title = {Asymptotic expansion of low-energy excitations for weakly interacting bosons},
     journal = {Forum of Mathematics, Sigma},
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     volume = {9},
     year = {2021},
     doi = {10.1017/fms.2021.22},
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.22/}
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Lea Boßmann; Sören Petrat; Robert Seiringer. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.22

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