Proof of Bose-Einstein condensation for dilute trapped gases

Elliou H. Lieb; Robert Seiringer

doi:10.1007/3-540-27056-6_52

Proof of Bose-Einstein condensation for dilute trapped gases

Elliou H. Lieb, Robert Seiringer

Mathematics

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

Abstract

The ground state of bosonie atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting from the basic Schrödinger equation; the condensation is 100% into the state that minimizes the Gross-Pitaevskii energy functional This is the first, rigorous proof of BEC in a physically realistic, continuum model.

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	899-902
Number of pages	4
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_52
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1007/3-540-27056-6_52

Cite this

@inbook{fc48b93dd4254349847058e6aaabc91b,

title = "Proof of Bose-Einstein condensation for dilute trapped gases",

abstract = "The ground state of bosonie atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting from the basic Schr{\"o}dinger equation; the condensation is 100% into the state that minimizes the Gross-Pitaevskii energy functional This is the first, rigorous proof of BEC in a physically realistic, continuum model.",

author = "Lieb, {Elliou H.} and Robert Seiringer",

year = "2005",

doi = "10.1007/3-540-27056-6_52",

language = "English (US)",

isbn = "3540420835",

pages = "899--902",

booktitle = "The Stability of Matter",

publisher = "Springer Berlin Heidelberg",

}

TY - CHAP

T1 - Proof of Bose-Einstein condensation for dilute trapped gases

AU - Lieb, Elliou H.

AU - Seiringer, Robert

PY - 2005

Y1 - 2005

N2 - The ground state of bosonie atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting from the basic Schrödinger equation; the condensation is 100% into the state that minimizes the Gross-Pitaevskii energy functional This is the first, rigorous proof of BEC in a physically realistic, continuum model.

AB - The ground state of bosonie atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting from the basic Schrödinger equation; the condensation is 100% into the state that minimizes the Gross-Pitaevskii energy functional This is the first, rigorous proof of BEC in a physically realistic, continuum model.

UR - http://www.scopus.com/inward/record.url?scp=84892214729&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84892214729&partnerID=8YFLogxK

U2 - 10.1007/3-540-27056-6_52

DO - 10.1007/3-540-27056-6_52

M3 - Chapter

AN - SCOPUS:84892214729

SN - 3540420835

SN - 9783540222125

SP - 899

EP - 902

BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

Proof of Bose-Einstein condensation for dilute trapped gases

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this