Variational treatment of the confined hydrogen atom with a moving nucleus

Autores
Fernández, Francisco Marcelo
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We solve the Schrodinger equation for a hydrogen atom within a spherical box ¨ approximately by means of the variational method. We propose two simple trial functions for the case in which both the nucleus and the electron move within the box. Present results are sufficiently accurate for all values of the box radius and therefore an improvement on an earlier calculation based on perturbation theory. We compare the energies of three alternative approaches for the moving-nucleus model with that of the nucleus clamped at origin. We also outline some physical applications of the model.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
Materia
Confined hydrogen
Moving nucleus
Variational method
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:11336/279837
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Variational treatment of the confined hydrogen atom with a moving nucleusFernández, Francisco MarceloConfined hydrogenMoving nucleusVariational methodhttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We solve the Schrodinger equation for a hydrogen atom within a spherical box ¨ approximately by means of the variational method. We propose two simple trial functions for the case in which both the nucleus and the electron move within the box. Present results are sufficiently accurate for all values of the box radius and therefore an improvement on an earlier calculation based on perturbation theory. We compare the energies of three alternative approaches for the moving-nucleus model with that of the nucleus clamped at origin. We also outline some physical applications of the model.Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; ArgentinaIOP Publishing2010-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/279837Fernández, Francisco Marcelo; Variational treatment of the confined hydrogen atom with a moving nucleus; IOP Publishing; European Journal of Physics; 31; 3; 4-2010; 611-6160143-0807CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0143-0807/31/3/018info:eu-repo/semantics/altIdentifier/doi/10.1088/0143-0807/31/3/018info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T10:22:02Zoai:ri.conicet.gov.ar:11336/279837instacron: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:34982026-02-26 10:22:03.123CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Variational treatment of the confined hydrogen atom with a moving nucleus
title Variational treatment of the confined hydrogen atom with a moving nucleus
spellingShingle Variational treatment of the confined hydrogen atom with a moving nucleus
Fernández, Francisco Marcelo
Confined hydrogen
Moving nucleus
Variational method
title_short Variational treatment of the confined hydrogen atom with a moving nucleus
title_full Variational treatment of the confined hydrogen atom with a moving nucleus
title_fullStr Variational treatment of the confined hydrogen atom with a moving nucleus
title_full_unstemmed Variational treatment of the confined hydrogen atom with a moving nucleus
title_sort Variational treatment of the confined hydrogen atom with a moving nucleus
dc.creator.none.fl_str_mv Fernández, Francisco Marcelo
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_role author
dc.subject.none.fl_str_mv Confined hydrogen
Moving nucleus
Variational method
topic Confined hydrogen
Moving nucleus
Variational method
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We solve the Schrodinger equation for a hydrogen atom within a spherical box ¨ approximately by means of the variational method. We propose two simple trial functions for the case in which both the nucleus and the electron move within the box. Present results are sufficiently accurate for all values of the box radius and therefore an improvement on an earlier calculation based on perturbation theory. We compare the energies of three alternative approaches for the moving-nucleus model with that of the nucleus clamped at origin. We also outline some physical applications of the model.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
description We solve the Schrodinger equation for a hydrogen atom within a spherical box ¨ approximately by means of the variational method. We propose two simple trial functions for the case in which both the nucleus and the electron move within the box. Present results are sufficiently accurate for all values of the box radius and therefore an improvement on an earlier calculation based on perturbation theory. We compare the energies of three alternative approaches for the moving-nucleus model with that of the nucleus clamped at origin. We also outline some physical applications of the model.
publishDate 2010
dc.date.none.fl_str_mv 2010-04
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/11336/279837
Fernández, Francisco Marcelo; Variational treatment of the confined hydrogen atom with a moving nucleus; IOP Publishing; European Journal of Physics; 31; 3; 4-2010; 611-616
0143-0807
CONICET Digital
CONICET
url http://hdl.handle.net/11336/279837
identifier_str_mv Fernández, Francisco Marcelo; Variational treatment of the confined hydrogen atom with a moving nucleus; IOP Publishing; European Journal of Physics; 31; 3; 4-2010; 611-616
0143-0807
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0143-0807/31/3/018
info:eu-repo/semantics/altIdentifier/doi/10.1088/0143-0807/31/3/018
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
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 13.176822

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