The Second-Order Correction to the Ground State Energy of the Dilute Bose Gas

被引：14

作者：

Brietzke, Birger ^{[1
]}

Solovej, Jan Philip ^{[2
]}

机构：

[1] Heidelberg Univ, Inst Appl Math, Neuenheimer Feld 205, D-69120 Heidelberg, Germany

[2] Univ Copenhagen, Dept Math, Univ Pk 5, DK-2100 Copenhagen, Denmark

来源：

ANNALES HENRI POINCARE | 2020年 / 21卷 / 02期

关键词：

D O I：

10.1007/s00023-019-00875-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We establish the Lee-Huang-Yang formula for the ground state energy of a dilute Bose gas for a broad class of repulsive pair-interactions in 3D as a lower bound. Our result is valid in an appropriate parameter regime of soft potentials and confirms that the Bogoliubov approximation captures the right second-order correction to the ground state energy.

引用

页码：571 / 626

页数：56

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