论文标题

低能激发的渐近相互作用玻色子的渐近膨胀

Asymptotic expansion of low-energy excitations for weakly interacting bosons

论文作者

Boßmann, Lea, Petrat, Sören, Seiringer, Robert

论文摘要

我们考虑了一类互动的平均场缩放制度中的$ n $玻色子系统,包括排斥库仑的潜力。我们得出了低能特征态和相应能量的渐近扩展,该概要为Bogoliubov理论提供了$ 1/n $的任何顺序。

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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