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The excitation spectrum of Bose gases interacting through singular potentials


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.

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.

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.

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Additional indexing

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:07 Nov 2020 21:00
Publisher:European Mathematical Society
ISSN:1435-9855
OA Status:Closed
Publisher DOI:https://doi.org/10.4171/jems/966

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