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

被引：12

作者：

Fournais, Soren ^{[1
]}

Napiorkowski, Marcin ^{[2
,3
]}

Reuvers, Robin ^{[4
]}

Solovej, Jan Philip ^{[5
]}

机构：

[1] Aarhus Univ, Dept Math, Ny Munkegade 118, DK-8000 Aarhus C, Denmark

[2] Ludwig Maximilians Univ Munchen, Dept Math, Theresienstr 39, D-80333 Munich, Germany

[3] Univ Warsaw, Fac Phys, Dept Math Methods Phys, Pasteura 5, PL-02093 Warsaw, Poland

[4] Univ Cambridge, Ctr Math Sci, DAMTP, Wilberforce Poad, Cambridge CB3 0WA, England

[5] Univ Copenhagen, Dept Math Sci, QMATH, Univ Parken 5, DK-2100 Copenhagen O, Denmark

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 07期

关键词：

EXISTENCE; DENSITY; SYSTEM;

D O I：

10.1063/1.5096987

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：17

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