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

Elliott H. Lieb; Robert Seiringer; Jakob Yngvason

doi:10.1007/3-540-27056-6_47

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

Elliott H. Lieb, Robert Seiringer, Jakob Yngvason

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

7 Scopus citations

Abstract

The ground-state properties of interacting Host gases in external potentials, as considered in recent exptriments, 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.

Original language	English (US)
Title of host publication	The Stability of Matter
Subtitle of host publication	From Atoms to Stars: Fourth Edition
Publisher	Springer Berlin Heidelberg
Pages	759-771
Number of pages	13
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_47
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1007/3-540-27056-6_47

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title = "Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional",

abstract = "The ground-state properties of interacting Host gases in external potentials, as considered in recent exptriments, 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.",

author = "Lieb, \{Elliott H.\} and Robert Seiringer and Jakob Yngvason",

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T2 - A rigorous derivation of the Gross-Pitaevskii energy functional

AU - Lieb, Elliott H.

AU - Seiringer, Robert

AU - Yngvason, Jakob

PY - 2005

Y1 - 2005

N2 - The ground-state properties of interacting Host gases in external potentials, as considered in recent exptriments, 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.

AB - The ground-state properties of interacting Host gases in external potentials, as considered in recent exptriments, 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.

UR - https://www.scopus.com/pages/publications/84892340790

UR - https://www.scopus.com/inward/citedby.url?scp=84892340790&partnerID=8YFLogxK

U2 - 10.1007/3-540-27056-6_47

DO - 10.1007/3-540-27056-6_47

M3 - Chapter

AN - SCOPUS:84892340790

SN - 3540420835

SN - 9783540222125

SP - 759

EP - 771

BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

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

Abstract

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