Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional

被引：324

作者：

Lieb, EH

Seiringer, R

Yngvason, J

机构：

[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[3] Univ Vienna, Inst Theoret Phys, A-1090 Vienna, Austria

来源：

PHYSICAL REVIEW A | 2000年 / 61卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.61.043602

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The ground-state properties of interacting Bose gases in external potentials, as considered in recent experiments, are usually described by means of the Gross-Pitaevskii energy functional. We present here a rigorous proof of the asymptotic exactness of this approximation for the ground-state energy and particle density of a dilute Bose gas with a positive interaction.

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页码：13 / 436021

页数：13

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