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Boccato, Chiara; Brennecke, Christian; Cenatiempo, Serena; Schlein, Benjamin (2019). Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica, 222(2):219-335.
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→∞. Our results confirm Bogoliubov’s predictions.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Uncontrolled Keywords: | General Mathematics |
| Language: | English |
| Date: | 1 January 2019 |
| Deposited On: | 16 Dec 2019 09:32 |
| Last Modified: | 22 Jan 2025 02:36 |
| Publisher: | International Press |
| ISSN: | 0001-5962 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.4310/acta.2019.v222.n2.a1 |
Boccato, Chiara