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

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10.1007/3-540-27056-6_52

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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.",

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AU - Seiringer, Robert

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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 - https://www.scopus.com/pages/publications/84892214729

UR - https://www.scopus.com/pages/publications/84892214729#tab=citedBy

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

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