Thomas-Fermi approximation for Bose-Einstein condensates in traps

Thomas-Fermi theory for Bose condesates in inhomogeneous traps is revisited. The phase-space distribution function in the Thomas-Fermi limit is $f_0(\bold{R},\bold{p})$ $\alpha$ $\delta(\mu - H_{cl})$ where $H_{cl}$ is the classical counterpart of the self-consistent Gross-Pitaevskii Hamiltonian. No...

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Authors: Schuck, Peter; Viñas Gausí, Xavier
Format: Article
Status:Published version
Publication date:2000
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/9556
Online Access:https://hdl.handle.net/2445/9556
Access Level:Open access
Keyword:Teoria quàntica
Condensació de Bose-Einstein
Excitació nuclear
Quantum theory
Bose-Einstein condensation
Nuclear excitation
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author Schuck, Peter
author2 Viñas Gausí, Xavier
author2_role author
author_browse Schuck, Peter
Viñas Gausí, Xavier
author_facet Schuck, Peter
Viñas Gausí, Xavier
author_role author
collection Dipòsit Digital de la UB
description Thomas-Fermi theory for Bose condesates in inhomogeneous traps is revisited. The phase-space distribution function in the Thomas-Fermi limit is $f_0(\bold{R},\bold{p})$ $\alpha$ $\delta(\mu - H_{cl})$ where $H_{cl}$ is the classical counterpart of the self-consistent Gross-Pitaevskii Hamiltonian. No assumption on the large N-limit is introduced and, e.g the kinetic energy is found to be in good agreement with the quantal results even for low and intermediate particle numbers N. The attractive case yields conclusive results as well.
eu_rights_str_mv openAccess
format article
id ES_fe475bbf3c7f3b2d2bd209eeec79f16f
institution Universidad de Barcelona
instname_str Universidad de Barcelona
network_acronym_str ES
network_name_str España
oai_identifier_str oai:diposit.ub.edu:2445/9556
publishDate 2000
publishDateSort 2000
publisher The American Physical Society
publisherStr The American Physical Society
reponame_str Dipòsit Digital de la UB
spelling Thomas-Fermi approximation for Bose-Einstein condensates in traps Schuck, Peter Viñas Gausí, Xavier Teoria quàntica Condensació de Bose-Einstein Excitació nuclear Quantum theory Bose-Einstein condensation Nuclear excitation Thomas-Fermi theory for Bose condesates in inhomogeneous traps is revisited. The phase-space distribution function in the Thomas-Fermi limit is $f_0(\bold{R},\bold{p})$ $\alpha$ $\delta(\mu - H_{cl})$ where $H_{cl}$ is the classical counterpart of the self-consistent Gross-Pitaevskii Hamiltonian. No assumption on the large N-limit is introduced and, e.g the kinetic energy is found to be in good agreement with the quantal results even for low and intermediate particle numbers N. The attractive case yields conclusive results as well. The American Physical Society https://hdl.handle.net/2445/9556
spellingShingle Thomas-Fermi approximation for Bose-Einstein condensates in traps
Schuck, Peter
Teoria quàntica
Condensació de Bose-Einstein
Excitació nuclear
Quantum theory
Bose-Einstein condensation
Nuclear excitation
status_str publishedVersion
title Thomas-Fermi approximation for Bose-Einstein condensates in traps
title_full Thomas-Fermi approximation for Bose-Einstein condensates in traps
title_fullStr Thomas-Fermi approximation for Bose-Einstein condensates in traps
title_full_unstemmed Thomas-Fermi approximation for Bose-Einstein condensates in traps
title_short Thomas-Fermi approximation for Bose-Einstein condensates in traps
title_sort Thomas-Fermi approximation for Bose-Einstein condensates in traps
topic Teoria quàntica
Condensació de Bose-Einstein
Excitació nuclear
Quantum theory
Bose-Einstein condensation
Nuclear excitation
topic_facet Teoria quàntica
Condensació de Bose-Einstein
Excitació nuclear
Quantum theory
Bose-Einstein condensation
Nuclear excitation
url https://hdl.handle.net/2445/9556