Abstract
We consider Bose gases consisting of $N$ particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of order $N^{-1}$ (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as $N \to \infty$. Our results confirm Bogoliubov’s predictions.
Citation
Chiara Boccato. Christian Brennecke. Serena Cenatiempo. Benjamin Schlein. "Bogoliubov theory in the Gross–Pitaevskii limit." Acta Math. 222 (2) 219 - 335, June 2019. https://doi.org/10.4310/ACTA.2019.v222.n2.a1
Information
