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Brennecke, Christian; Schlein, Benjamin; Schraven, Severin (2022). Bogoliubov theory for trapped bosons in the Gross–Pitaevskii regime. Annales Henri Poincaré, 23:1583-1658.
We consider systems of N bosons in R3, 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→∞.
| Item Type: | Journal Article, refereed, original work |
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| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Nuclear and High Energy Physics Physical Sciences > Mathematical Physics |
| Uncontrolled Keywords: | Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics |
| Language: | English |
| Date: | 25 February 2022 |
| Deposited On: | 03 May 2022 15:14 |
| Last Modified: | 27 Dec 2024 02:39 |
| Publisher: | Springer |
| ISSN: | 1424-0637 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/s00023-021-01151-z |
| Project Information: |
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Brennecke, Christian