Boccato, Chiara; Brennecke, Christian; Cenatiempo, Serena; Schlein, Benjamin (2020). The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society, 22(7):2331-2403.
We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N.
We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 340 Law
610 Medicine & health 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Applied Mathematics, General Mathematics |
| Language: | English |
| Date: | 22 April 2020 |
| Deposited On: | 06 Nov 2020 10:14 |
| Last Modified: | 24 Nov 2023 02:43 |
| Publisher: | European Mathematical Society |
| ISSN: | 1435-9855 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.4171/jems/966 |
Boccato, Chiara