Accurate calculation of the solutions to the Thomas-Fermi equations

Autores
Amore, Paulo; Boyd, John P.; Fernández, Francisco Marcelo
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé-Hankel method, numerical integration, power series with Padé and Hermite-Padé approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Física
Atoms
Atoms in magnetic fields
Thomas-Fermi theory
Accurate solutions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/100798
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/100798
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Accurate calculation of the solutions to the Thomas-Fermi equationsAmore, PauloBoyd, John P.Fernández, Francisco MarceloFísicaAtomsAtoms in magnetic fieldsThomas-Fermi theoryAccurate solutionsWe obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé-Hankel method, numerical integration, power series with Padé and Hermite-Padé approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2014-02-24info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf929-943http://sedici.unlp.edu.ar/handle/10915/100798enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/5169info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1205.1704info:eu-repo/semantics/altIdentifier/issn/0096-3003info:eu-repo/semantics/altIdentifier/arxiv/1205.1704v2info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2014.01.137info:eu-repo/semantics/altIdentifier/hdl/11336/5169info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-11-12T10:44:26Zoai:sedici.unlp.edu.ar:10915/100798Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-11-12 10:44:26.836SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Accurate calculation of the solutions to the Thomas-Fermi equations
title Accurate calculation of the solutions to the Thomas-Fermi equations
spellingShingle Accurate calculation of the solutions to the Thomas-Fermi equations
Amore, Paulo
Física
Atoms
Atoms in magnetic fields
Thomas-Fermi theory
Accurate solutions
title_short Accurate calculation of the solutions to the Thomas-Fermi equations
title_full Accurate calculation of the solutions to the Thomas-Fermi equations
title_fullStr Accurate calculation of the solutions to the Thomas-Fermi equations
title_full_unstemmed Accurate calculation of the solutions to the Thomas-Fermi equations
title_sort Accurate calculation of the solutions to the Thomas-Fermi equations
dc.creator.none.fl_str_mv Amore, Paulo
Boyd, John P.
Fernández, Francisco Marcelo
author Amore, Paulo
author_facet Amore, Paulo
Boyd, John P.
Fernández, Francisco Marcelo
author_role author
author2 Boyd, John P.
Fernández, Francisco Marcelo
author2_role author
author
dc.subject.none.fl_str_mv Física
Atoms
Atoms in magnetic fields
Thomas-Fermi theory
Accurate solutions
topic Física
Atoms
Atoms in magnetic fields
Thomas-Fermi theory
Accurate solutions
dc.description.none.fl_txt_mv We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé-Hankel method, numerical integration, power series with Padé and Hermite-Padé approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé-Hankel method, numerical integration, power series with Padé and Hermite-Padé approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy.
publishDate 2014
dc.date.none.fl_str_mv 2014-02-24
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/100798
url http://sedici.unlp.edu.ar/handle/10915/100798
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/5169
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1205.1704
info:eu-repo/semantics/altIdentifier/issn/0096-3003
info:eu-repo/semantics/altIdentifier/arxiv/1205.1704v2
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2014.01.137
info:eu-repo/semantics/altIdentifier/hdl/11336/5169
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
929-943
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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