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arXiv:2108.11129

Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime

Christian Brennecke, Benjamin Schlein, Severin Schraven

Published Aug 25, 2021• 0 citations
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Abstract

We consider systems of $N$ bosons in $\mathbb{R}^3$, trapped by an external potential. The interaction is repulsive and has a scattering length of the order $N^{-1}$ (Gross-Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum up to errors that vanish in the limit $N\to \infty$.

DOI
10.48550/arxiv.2108.11129

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