Excitation spectrum of interacting bosons in the Mean-Field Infinite-Volume limit
Dereziński J, Napiórkowski MM. 2014. Excitation spectrum of interacting bosons in the Mean-Field Infinite-Volume limit. Annales Henri Poincaré. 15(12), 2409–2439.
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Author
Dereziński, Jan;
Napiórkowski, Marcin MISTA
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
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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. Springer Nature. 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. Springer Nature, 2014. 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. Springer Nature, 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.
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