Two interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approaches

Detalhes bibliográficos
Autor(a) principal: Lima, Diefferson Rubeni da Rosa de
Data de Publicação: 2012
Outros Autores: Foerster, Angela, Roditi, Itzhak
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/104549
Resumo: In this work, combining the Bethe ansatz approach with the variational principle, we calculate the ground-state energy of the relative motion of a system of two fermions with spin up and spin down interacting via a delta-function potential in a one-dimensional (1D) harmonic trap. Our results show good agreement with the analytical solution of the problem, and provide a starting point for the investigation of more complex few-body systems where no exact theoretical solution is available.
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spelling Lima, Diefferson Rubeni da Rosa deFoerster, AngelaRoditi, Itzhak2014-10-15T02:12:30Z20121050-2947http://hdl.handle.net/10183/104549000868104In this work, combining the Bethe ansatz approach with the variational principle, we calculate the ground-state energy of the relative motion of a system of two fermions with spin up and spin down interacting via a delta-function potential in a one-dimensional (1D) harmonic trap. Our results show good agreement with the analytical solution of the problem, and provide a starting point for the investigation of more complex few-body systems where no exact theoretical solution is available.application/pdfengPhysical review. A, Atomic, molecular, and optical physics. New York. Vol. 86, no. 4 (Oct. 2012), 043619, 6 p.Condensação Bose-EinsteinEquacao de bethe ansatzTécnicas variacionaisSistemas de férmionsTwo interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approachesEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000868104.pdf000868104.pdfTexto completo (inglês)application/pdf165276http://www.lume.ufrgs.br/bitstream/10183/104549/1/000868104.pdf028044e595f5071c45cd70638fb10bacMD51TEXT000868104.pdf.txt000868104.pdf.txtExtracted Texttext/plain28068http://www.lume.ufrgs.br/bitstream/10183/104549/2/000868104.pdf.txt5ff59af5276d2c63c3dd7c719f90ef2fMD52THUMBNAIL000868104.pdf.jpg000868104.pdf.jpgGenerated Thumbnailimage/jpeg2156http://www.lume.ufrgs.br/bitstream/10183/104549/3/000868104.pdf.jpg7e1420b61e0a0a1a3815e3e6a030645dMD5310183/1045492023-06-24 03:35:05.367313oai:www.lume.ufrgs.br:10183/104549Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-06-24T06:35:05Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Two interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approaches
title Two interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approaches
spellingShingle Two interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approaches
Lima, Diefferson Rubeni da Rosa de
Condensação Bose-Einstein
Equacao de bethe ansatz
Técnicas variacionais
Sistemas de férmions
title_short Two interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approaches
title_full Two interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approaches
title_fullStr Two interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approaches
title_full_unstemmed Two interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approaches
title_sort Two interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approaches
author Lima, Diefferson Rubeni da Rosa de
author_facet Lima, Diefferson Rubeni da Rosa de
Foerster, Angela
Roditi, Itzhak
author_role author
author2 Foerster, Angela
Roditi, Itzhak
author2_role author
author
dc.contributor.author.fl_str_mv Lima, Diefferson Rubeni da Rosa de
Foerster, Angela
Roditi, Itzhak
dc.subject.por.fl_str_mv Condensação Bose-Einstein
Equacao de bethe ansatz
Técnicas variacionais
Sistemas de férmions
topic Condensação Bose-Einstein
Equacao de bethe ansatz
Técnicas variacionais
Sistemas de férmions
description In this work, combining the Bethe ansatz approach with the variational principle, we calculate the ground-state energy of the relative motion of a system of two fermions with spin up and spin down interacting via a delta-function potential in a one-dimensional (1D) harmonic trap. Our results show good agreement with the analytical solution of the problem, and provide a starting point for the investigation of more complex few-body systems where no exact theoretical solution is available.
publishDate 2012
dc.date.issued.fl_str_mv 2012
dc.date.accessioned.fl_str_mv 2014-10-15T02:12:30Z
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/104549
dc.identifier.issn.pt_BR.fl_str_mv 1050-2947
dc.identifier.nrb.pt_BR.fl_str_mv 000868104
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. A, Atomic, molecular, and optical physics. New York. Vol. 86, no. 4 (Oct. 2012), 043619, 6 p.
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