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

Soren Fournais; Marcin Napiorkowski; 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

Soren Fournais^*, Marcin Napiorkowski, Robin Reuvers, Jan Philip Solovej

^*Corresponding author af dette arbejde

Institut for Matematik

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

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. Published under license by AIP Publishing.

Originalsprog	Engelsk
Artikelnummer	071903
Tidsskrift	Journal of Mathematical Physics
Vol/bind	60
Nummer	7
Antal sider	17
ISSN	0022-2488
DOI	https://doi.org/10.1063/1.5096987
Status	Udgivet - jul. 2019

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10.1063/1.5096987

https://arxiv.org/pdf/1903.09268.pdf

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http://www.scopus.com/inward/record.url?scp=85070089310&partnerID=8YFLogxK

Semiclassical Quantum Mechanics
Fournais, S. (PI), Madsen, P. (Deltager), Mikkelsen, S. (Deltager), Miqueu, J.-P. C. (Deltager) & Bley, G. (Deltager)
01/07/2015 → 31/12/2020
Projekter: Projekt › Forskning

Citationsformater

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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. Published under license by AIP Publishing.",

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AU - Fournais, Soren

AU - Napiorkowski, Marcin

AU - Reuvers, Robin

AU - Solovej, Jan Philip

PY - 2019/7

Y1 - 2019/7

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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. Published under license by AIP Publishing.

KW - EXISTENCE

KW - DENSITY

KW - SYSTEM

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U2 - 10.1063/1.5096987

DO - 10.1063/1.5096987

M3 - Journal article

SN - 0022-2488

VL - 60

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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M1 - 071903

ER -

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

Abstract

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Fingeraftryk

Projekter

Semiclassical Quantum Mechanics

Citationsformater