Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional

Søren Fournais; Marcin Napiórkowski; Robin Reuvers; Jan Philip Solovej

doi:10.1063/1.5096987

Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional

Søren Fournais, Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej

Department of Mathematical Sciences

5 Citations (Scopus)

13 Downloads (Pure)

Abstract

We extend the analysis of the Bogoliubov free energy functional to two dimensions at very low temperatures. For sufficiently weak interactions, we prove two term asymptotics for the ground state energy.

Original language	English
Article number	071903
Journal	Journal of Mathematical Physics
Volume	60
Issue number	7
Number of pages	17
ISSN	0022-2488
DOIs	https://doi.org/10.1063/1.5096987
Publication status	Published - 2019

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title = "Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional",

abstract = "We extend the analysis of the Bogoliubov free energy functional to two dimensions at very low temperatures. For sufficiently weak interactions, we prove two term asymptotics for the ground state energy.",

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AU - Fournais, Søren

AU - Napiórkowski, Marcin

AU - Reuvers, Robin

AU - Solovej, Jan Philip

PY - 2019

Y1 - 2019

N2 - We extend the analysis of the Bogoliubov free energy functional to two dimensions at very low temperatures. For sufficiently weak interactions, we prove two term asymptotics for the ground state energy.

AB - We extend the analysis of the Bogoliubov free energy functional to two dimensions at very low temperatures. For sufficiently weak interactions, we prove two term asymptotics for the ground state energy.

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DO - 10.1063/1.5096987

M3 - Journal article

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VL - 60

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 7

M1 - 071903

ER -

Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional

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