Excitation spectrum of interacting bosons in the Mean-Field Infinite-Volume limit

J. Dereziński, M.M. Napiórkowski, Annales Henri Poincaré 15 (2014) 2409–2439.

Download
OA 865.23 KB
Journal Article | Published | English
Author
Abstract
We consider homogeneous Bose gas in a large cubic box with periodic boundary conditions, at zero temperature. We analyze its excitation spectrum in a certain kind of a mean-field infinite-volume limit. We prove that under appropriate conditions the excitation spectrum has the form predicted by the Bogoliubov approximation. Our result can be viewed as an extension of the result of Seiringer (Commun. Math. Phys.306:565–578, 2011) to large volumes.
Publishing Year
Date Published
2014-01-10
Journal Title
Annales Henri Poincaré
Volume
15
Issue
12
Page
2409-2439
IST-REx-ID

Cite this

Dereziński J, Napiórkowski MM. Excitation spectrum of interacting bosons in the Mean-Field Infinite-Volume limit. Annales Henri Poincaré. 2014;15(12):2409-2439. doi:10.1007/s00023-013-0302-4
Dereziński, J., & Napiórkowski, M. M. (2014). Excitation spectrum of interacting bosons in the Mean-Field Infinite-Volume limit. Annales Henri Poincaré, 15(12), 2409–2439. https://doi.org/10.1007/s00023-013-0302-4
Dereziński, Jan, and Marcin M Napiórkowski. “Excitation Spectrum of Interacting Bosons in the Mean-Field Infinite-Volume Limit.” Annales Henri Poincaré 15, no. 12 (2014): 2409–39. https://doi.org/10.1007/s00023-013-0302-4.
J. Dereziński and M. M. Napiórkowski, “Excitation spectrum of interacting bosons in the Mean-Field Infinite-Volume limit,” Annales Henri Poincaré, vol. 15, no. 12, pp. 2409–2439, 2014.
Dereziński J, Napiórkowski MM. 2014. Excitation spectrum of interacting bosons in the Mean-Field Infinite-Volume limit. Annales Henri Poincaré. 15(12), 2409–2439.
Dereziński, Jan, and Marcin M. Napiórkowski. “Excitation Spectrum of Interacting Bosons in the Mean-Field Infinite-Volume Limit.” Annales Henri Poincaré, vol. 15, no. 12, Springer Nature, 2014, pp. 2409–39, doi:10.1007/s00023-013-0302-4.
All files available under the following license(s):
Creative Commons License:
CC-BYCreative Commons Attribution 4.0 International Public License (CC-BY 4.0)
Main File(s)
File Name
Access Level
OA Open Access
Last Uploaded
2019-01-10T09:04:45Z


Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar