Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”

Autores
Fernández, Francisco Marcelo; Garcia, Javier
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show that the resonances of the Stark effect in hydrogen reported by Fernández-Menchero and Summers [Phys. Rev. A 88, 022509 (2013)PLRAAN1050-294710.1103/PhysRevA.88.022509] are considerably less accurate than the number of digits appear to suggest. In particular, the imaginary part of the lowest resonance is several orders of magnitude greater than it should be. We compare the results of that paper with those provided by the Riccati-Padé method, perturbation theory, and an asymptotic expansion for the resonance width. The inaccuracy of those results can be traced back to the lack of precision in the calculation of the matrix elements of the secular equation. We carry out a more accurate calculation with the same method and show that the agreement with earlier results of other authors is greatly improved.
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
Fil: Garcia, Javier. 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
Hydrogen Atom
Stark Effect
Riccati Padé Method
Complex Rotation 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:11336/48730
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”Fernández, Francisco MarceloGarcia, JavierHydrogen AtomStark EffectRiccati Padé MethodComplex Rotation Methodhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We show that the resonances of the Stark effect in hydrogen reported by Fernández-Menchero and Summers [Phys. Rev. A 88, 022509 (2013)PLRAAN1050-294710.1103/PhysRevA.88.022509] are considerably less accurate than the number of digits appear to suggest. In particular, the imaginary part of the lowest resonance is several orders of magnitude greater than it should be. We compare the results of that paper with those provided by the Riccati-Padé method, perturbation theory, and an asymptotic expansion for the resonance width. The inaccuracy of those results can be traced back to the lack of precision in the calculation of the matrix elements of the secular equation. We carry out a more accurate calculation with the same method and show that the agreement with earlier results of other authors is greatly improved.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; ArgentinaFil: Garcia, Javier. 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; ArgentinaAmerican Physical Society2015-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/48730Fernández, Francisco Marcelo; Garcia, Javier; Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 91; 6; 6-2015; 66501-665041050-2947CONICET DigitalCONICETenghttps://doi.org/10.1103/PhysRevA.88.022509info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.91.066501info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.066501info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:09:10Zoai:ri.conicet.gov.ar:11336/48730instacron: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:34982025-09-03 10:09:11.249CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”
title Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”
spellingShingle Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”
Fernández, Francisco Marcelo
Hydrogen Atom
Stark Effect
Riccati Padé Method
Complex Rotation Method
title_short Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”
title_full Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”
title_fullStr Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”
title_full_unstemmed Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”
title_sort Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”
dc.creator.none.fl_str_mv Fernández, Francisco Marcelo
Garcia, Javier
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
Garcia, Javier
author_role author
author2 Garcia, Javier
author2_role author
dc.subject.none.fl_str_mv Hydrogen Atom
Stark Effect
Riccati Padé Method
Complex Rotation Method
topic Hydrogen Atom
Stark Effect
Riccati Padé Method
Complex Rotation Method
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We show that the resonances of the Stark effect in hydrogen reported by Fernández-Menchero and Summers [Phys. Rev. A 88, 022509 (2013)PLRAAN1050-294710.1103/PhysRevA.88.022509] are considerably less accurate than the number of digits appear to suggest. In particular, the imaginary part of the lowest resonance is several orders of magnitude greater than it should be. We compare the results of that paper with those provided by the Riccati-Padé method, perturbation theory, and an asymptotic expansion for the resonance width. The inaccuracy of those results can be traced back to the lack of precision in the calculation of the matrix elements of the secular equation. We carry out a more accurate calculation with the same method and show that the agreement with earlier results of other authors is greatly improved.
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
Fil: Garcia, Javier. 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 show that the resonances of the Stark effect in hydrogen reported by Fernández-Menchero and Summers [Phys. Rev. A 88, 022509 (2013)PLRAAN1050-294710.1103/PhysRevA.88.022509] are considerably less accurate than the number of digits appear to suggest. In particular, the imaginary part of the lowest resonance is several orders of magnitude greater than it should be. We compare the results of that paper with those provided by the Riccati-Padé method, perturbation theory, and an asymptotic expansion for the resonance width. The inaccuracy of those results can be traced back to the lack of precision in the calculation of the matrix elements of the secular equation. We carry out a more accurate calculation with the same method and show that the agreement with earlier results of other authors is greatly improved.
publishDate 2015
dc.date.none.fl_str_mv 2015-06
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/11336/48730
Fernández, Francisco Marcelo; Garcia, Javier; Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 91; 6; 6-2015; 66501-66504
1050-2947
CONICET Digital
CONICET
url http://hdl.handle.net/11336/48730
identifier_str_mv Fernández, Francisco Marcelo; Garcia, Javier; Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 91; 6; 6-2015; 66501-66504
1050-2947
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.1103/PhysRevA.88.022509
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.91.066501
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.066501
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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 13.13397

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