The excitation spectrum of Bose gases interacting through singular potentials
Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 22(7), 2331–2403.
Download (ext.)
DOI
Journal Article
| Published
| English
Scopus indexed
Author
Boccato, ChiaraISTA;
Brennecke, Christian;
Cenatiempo, Serena;
Schlein, Benjamin
Department
Abstract
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.
Publishing Year
Date Published
2020-07-01
Journal Title
Journal of the European Mathematical Society
Volume
22
Issue
7
Page
2331-2403
ISSN
IST-REx-ID
Cite this
Boccato C, Brennecke C, Cenatiempo S, Schlein B. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 2020;22(7):2331-2403. doi:10.4171/JEMS/966
Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/966
Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society. European Mathematical Society, 2020. https://doi.org/10.4171/JEMS/966.
C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “The excitation spectrum of Bose gases interacting through singular potentials,” Journal of the European Mathematical Society, vol. 22, no. 7. European Mathematical Society, pp. 2331–2403, 2020.
Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 22(7), 2331–2403.
Boccato, Chiara, et al. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society, vol. 22, no. 7, European Mathematical Society, 2020, pp. 2331–403, doi:10.4171/JEMS/966.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Link(s) to Main File(s)
Access Level
Open Access
Export
Marked PublicationsOpen Data ISTA Research Explorer
Web of Science
View record in Web of Science®Sources
arXiv 1704.04819
Google Scholar