Accurate calculation of the solutions to the Thomas-Fermi equations

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 t...

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Detalles Bibliográficos
Autores principales:	Amore, Paulo, Boyd, John P., Fernández, Francisco Marcelo
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2014
Materias:	Física Atoms Atoms in magnetic fields Thomas-Fermi theory Accurate solutions
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/100798 https://ri.conicet.gov.ar/11336/5169 http://arxiv.org/abs/1205.1704
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-100798
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Atoms Atoms in magnetic fields Thomas-Fermi theory Accurate solutions
spellingShingle	Física Atoms Atoms in magnetic fields Thomas-Fermi theory Accurate solutions Amore, Paulo Boyd, John P. Fernández, Francisco Marcelo Accurate calculation of the solutions to the Thomas-Fermi equations
topic_facet	Física Atoms Atoms in magnetic fields Thomas-Fermi theory Accurate solutions
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.
format	Articulo Articulo
author	Amore, Paulo Boyd, John P. Fernández, Francisco Marcelo
author_facet	Amore, Paulo Boyd, John P. Fernández, Francisco Marcelo
author_sort	Amore, Paulo
title	Accurate calculation of the solutions to the Thomas-Fermi equations
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
publishDate	2014
url	http://sedici.unlp.edu.ar/handle/10915/100798 https://ri.conicet.gov.ar/11336/5169 http://arxiv.org/abs/1205.1704
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bdutipo_str	Repositorios
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Accurate calculation of the solutions to the Thomas-Fermi equations

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