论文标题
在毛利人 - 彼得维斯基（Gross-Pitaevskii）制度中，被困玻色子的低能光谱
The Low Energy Spectrum of Trapped Bosons in the Gross-Pitaevskii Regime
论文作者
论文摘要
Bogoliubov理论为弱相互作用的Bose气体的低能特性提供了重要的预测。 Recently, Bogoliubov's predictions could be justified rigorously in \cite{BBCS3} for translation invariant systems in the Gross-Pitaveskii regime, where $N$ bosons in $Λ= [0;1]^3\subset \mathbb{R}^3$ interact through a potential whose scattering length is of size $ N^{-1}$.在本说明中，我们回顾了与B. Schlein和S. Schraven的联合合作的\ Cite {BSS2}的最新结果，该合作将\ Cite {BBCS3}的分析扩展到bosons of Bosons in $ \ Mathbb {r}^3 $中的玻色子系统，并被外部电位捕获。
Bogoliubov Theory provides important predictions for the low energy properties of the weakly interacting Bose gas. Recently, Bogoliubov's predictions could be justified rigorously in \cite{BBCS3} for translation invariant systems in the Gross-Pitaveskii regime, where $N$ bosons in $Λ= [0;1]^3\subset \mathbb{R}^3$ interact through a potential whose scattering length is of size $ N^{-1}$. In this note, we review recent results from \cite{BSS2}, a joint work with B. Schlein and S. Schraven, which extends the analysis of \cite{BBCS3} to systems of bosons in $\mathbb{R}^3$ that are trapped by an external potential.
