Methods for a Nonuniform Bose Gas

We review mathematical methods for the treatment of a system of Bose particles with nonuniform density. The use of the pseudopotential is explained, especially with respect to negative scattering lengths. It is emphasized that the delta-function potential produces no scattering in three dimensions,...

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Detalles Bibliográficos
Autores principales: Huang, Kerson, Tommasini, Paolo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 1996
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4907626/
https://www.ncbi.nlm.nih.gov/pubmed/27805099
http://dx.doi.org/10.6028/jres.101.046
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author Huang, Kerson
Tommasini, Paolo
author_facet Huang, Kerson
Tommasini, Paolo
author_sort Huang, Kerson
collection PubMed
description We review mathematical methods for the treatment of a system of Bose particles with nonuniform density. The use of the pseudopotential is explained, especially with respect to negative scattering lengths. It is emphasized that the delta-function potential produces no scattering in three dimensions, and should not be used in the Bogoliubov self-consistent field method, which is variational in nature. A common misuse of the Bogoliubov method at finite temperatures is pointed out. A Gaussian variational method is proposed.
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spelling pubmed-49076262016-10-28 Methods for a Nonuniform Bose Gas Huang, Kerson Tommasini, Paolo J Res Natl Inst Stand Technol Article We review mathematical methods for the treatment of a system of Bose particles with nonuniform density. The use of the pseudopotential is explained, especially with respect to negative scattering lengths. It is emphasized that the delta-function potential produces no scattering in three dimensions, and should not be used in the Bogoliubov self-consistent field method, which is variational in nature. A common misuse of the Bogoliubov method at finite temperatures is pointed out. A Gaussian variational method is proposed. [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 1996 /pmc/articles/PMC4907626/ /pubmed/27805099 http://dx.doi.org/10.6028/jres.101.046 Text en https://creativecommons.org/publicdomain/zero/1.0/ The Journal of Research of the National Institute of Standards and Technology is a publication of the U.S. Government. The papers are in the public domain and are not subject to copyright in the United States. Articles from J Res may contain photographs or illustrations copyrighted by other commercial organizations or individuals that may not be used without obtaining prior approval from the holder of the copyright.
spellingShingle Article
Huang, Kerson
Tommasini, Paolo
Methods for a Nonuniform Bose Gas
title Methods for a Nonuniform Bose Gas
title_full Methods for a Nonuniform Bose Gas
title_fullStr Methods for a Nonuniform Bose Gas
title_full_unstemmed Methods for a Nonuniform Bose Gas
title_short Methods for a Nonuniform Bose Gas
title_sort methods for a nonuniform bose gas
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4907626/
https://www.ncbi.nlm.nih.gov/pubmed/27805099
http://dx.doi.org/10.6028/jres.101.046
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