Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions

Autores
Rodriguez, Karina Viviana; Gasaneo, Gustavo; Mitnik, Dario Marcelo
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Simple and accurate wavefunctions for the He atom and He-like isoelectronic ions are presented. These functions—the product of hydrogenic one-electron solutions and a fully correlated part—satisfy all the coalescence cusp conditions at the Coulomb singularities. Functions with different numbers of parameters and different degrees of accuracy are discussed. Simple analytic expressions for the wavefunction and the energy, valid for a wide range of nuclear charges, are presented. The wavefunctions are tested, in the case of helium, through the calculations of various cross sections which probe different regions of the configuration space, mostly those close to the two-particle coalescence points.
Fil: Rodriguez, Karina Viviana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
Fil: Gasaneo, Gustavo. Universidad Nacional del Sur; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Mitnik, Dario Marcelo. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Materia
Wavefunctions For the Helium
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/21981
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditionsRodriguez, Karina VivianaGasaneo, GustavoMitnik, Dario MarceloWavefunctions For the Heliumhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Simple and accurate wavefunctions for the He atom and He-like isoelectronic ions are presented. These functions—the product of hydrogenic one-electron solutions and a fully correlated part—satisfy all the coalescence cusp conditions at the Coulomb singularities. Functions with different numbers of parameters and different degrees of accuracy are discussed. Simple analytic expressions for the wavefunction and the energy, valid for a wide range of nuclear charges, are presented. The wavefunctions are tested, in the case of helium, through the calculations of various cross sections which probe different regions of the configuration space, mostly those close to the two-particle coalescence points.Fil: Rodriguez, Karina Viviana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; ArgentinaFil: Gasaneo, Gustavo. Universidad Nacional del Sur; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Mitnik, Dario Marcelo. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaIOP Publishing2007-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/21981Rodriguez, Karina Viviana; Gasaneo, Gustavo; Mitnik, Dario Marcelo; Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 40; 19; 12-2007; 3923-39390953-4075CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/0953-4075/40/19/011info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0953-4075/40/19/011/metainfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:17:56Zoai:ri.conicet.gov.ar:11336/21981instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:17:56.299CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions
title Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions
spellingShingle Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions
Rodriguez, Karina Viviana
Wavefunctions For the Helium
title_short Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions
title_full Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions
title_fullStr Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions
title_full_unstemmed Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions
title_sort Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions
dc.creator.none.fl_str_mv Rodriguez, Karina Viviana
Gasaneo, Gustavo
Mitnik, Dario Marcelo
author Rodriguez, Karina Viviana
author_facet Rodriguez, Karina Viviana
Gasaneo, Gustavo
Mitnik, Dario Marcelo
author_role author
author2 Gasaneo, Gustavo
Mitnik, Dario Marcelo
author2_role author
author
dc.subject.none.fl_str_mv Wavefunctions For the Helium
topic Wavefunctions For the Helium
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Simple and accurate wavefunctions for the He atom and He-like isoelectronic ions are presented. These functions—the product of hydrogenic one-electron solutions and a fully correlated part—satisfy all the coalescence cusp conditions at the Coulomb singularities. Functions with different numbers of parameters and different degrees of accuracy are discussed. Simple analytic expressions for the wavefunction and the energy, valid for a wide range of nuclear charges, are presented. The wavefunctions are tested, in the case of helium, through the calculations of various cross sections which probe different regions of the configuration space, mostly those close to the two-particle coalescence points.
Fil: Rodriguez, Karina Viviana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
Fil: Gasaneo, Gustavo. Universidad Nacional del Sur; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Mitnik, Dario Marcelo. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
description Simple and accurate wavefunctions for the He atom and He-like isoelectronic ions are presented. These functions—the product of hydrogenic one-electron solutions and a fully correlated part—satisfy all the coalescence cusp conditions at the Coulomb singularities. Functions with different numbers of parameters and different degrees of accuracy are discussed. Simple analytic expressions for the wavefunction and the energy, valid for a wide range of nuclear charges, are presented. The wavefunctions are tested, in the case of helium, through the calculations of various cross sections which probe different regions of the configuration space, mostly those close to the two-particle coalescence points.
publishDate 2007
dc.date.none.fl_str_mv 2007-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/21981
Rodriguez, Karina Viviana; Gasaneo, Gustavo; Mitnik, Dario Marcelo; Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 40; 19; 12-2007; 3923-3939
0953-4075
CONICET Digital
CONICET
url http://hdl.handle.net/11336/21981
identifier_str_mv Rodriguez, Karina Viviana; Gasaneo, Gustavo; Mitnik, Dario Marcelo; Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 40; 19; 12-2007; 3923-3939
0953-4075
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/0953-4075/40/19/011
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0953-4075/40/19/011/meta
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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