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
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 $1/N$.