Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field

Autores
Randazzo, Juan Martin; Ancarani, L. U.
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
For the single differential cross section (SDCS) for hydrogen ionization by electron impact (e-H problem), we propose a correction to the flux formula given by R. Peterkop [Theory of Ionization of Atoms by Electron Impact (Colorado Associated University Press, Boulder, 1977)]. The modification is based on an alternative way of defining the kinetic energy fraction, using Bohm's definition of velocities instead of the usual asymptotic kinematical, or geometrical, approximation. It turns out that the solution-dependent, modified energy fraction is equally related to the components of the probability flux. Compared to what is usually observed, the correction yields a finite and well-behaved SDCS value in the asymmetrical situation where one of the continuum electrons carries all the energy while the other has zero energy. We also discuss, within the S-wave model of the e-H ionization process, the continuity of the SDCS derivative at the equal energy sharing point, a property not so clearly observed in published benchmark results obtained with integral and S-matrix formulas with unequal final states.
Fil: Randazzo, Juan Martin. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ancarani, L. U.. Centre National de la Recherche Scientifique; Francia. Université de Lorraine; Francia
Materia
Bohm velocity field
Ionization
Cross section
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:11336/60071
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity fieldRandazzo, Juan MartinAncarani, L. U.Bohm velocity fieldIonizationCross sectionhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1For the single differential cross section (SDCS) for hydrogen ionization by electron impact (e-H problem), we propose a correction to the flux formula given by R. Peterkop [Theory of Ionization of Atoms by Electron Impact (Colorado Associated University Press, Boulder, 1977)]. The modification is based on an alternative way of defining the kinetic energy fraction, using Bohm's definition of velocities instead of the usual asymptotic kinematical, or geometrical, approximation. It turns out that the solution-dependent, modified energy fraction is equally related to the components of the probability flux. Compared to what is usually observed, the correction yields a finite and well-behaved SDCS value in the asymmetrical situation where one of the continuum electrons carries all the energy while the other has zero energy. We also discuss, within the S-wave model of the e-H ionization process, the continuity of the SDCS derivative at the equal energy sharing point, a property not so clearly observed in published benchmark results obtained with integral and S-matrix formulas with unequal final states.Fil: Randazzo, Juan Martin. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Ancarani, L. U.. Centre National de la Recherche Scientifique; Francia. Université de Lorraine; FranciaAmerican Physical Society2015-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/60071Randazzo, Juan Martin; Ancarani, L. U.; Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 92; 6; 12-2015; 1-81050-2947CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.92.062706info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.062706info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:58:38Zoai:ri.conicet.gov.ar:11336/60071instacron: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 09:58:38.907CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field
title Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field
spellingShingle Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field
Randazzo, Juan Martin
Bohm velocity field
Ionization
Cross section
title_short Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field
title_full Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field
title_fullStr Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field
title_full_unstemmed Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field
title_sort Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field
dc.creator.none.fl_str_mv Randazzo, Juan Martin
Ancarani, L. U.
author Randazzo, Juan Martin
author_facet Randazzo, Juan Martin
Ancarani, L. U.
author_role author
author2 Ancarani, L. U.
author2_role author
dc.subject.none.fl_str_mv Bohm velocity field
Ionization
Cross section
topic Bohm velocity field
Ionization
Cross section
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv For the single differential cross section (SDCS) for hydrogen ionization by electron impact (e-H problem), we propose a correction to the flux formula given by R. Peterkop [Theory of Ionization of Atoms by Electron Impact (Colorado Associated University Press, Boulder, 1977)]. The modification is based on an alternative way of defining the kinetic energy fraction, using Bohm's definition of velocities instead of the usual asymptotic kinematical, or geometrical, approximation. It turns out that the solution-dependent, modified energy fraction is equally related to the components of the probability flux. Compared to what is usually observed, the correction yields a finite and well-behaved SDCS value in the asymmetrical situation where one of the continuum electrons carries all the energy while the other has zero energy. We also discuss, within the S-wave model of the e-H ionization process, the continuity of the SDCS derivative at the equal energy sharing point, a property not so clearly observed in published benchmark results obtained with integral and S-matrix formulas with unequal final states.
Fil: Randazzo, Juan Martin. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ancarani, L. U.. Centre National de la Recherche Scientifique; Francia. Université de Lorraine; Francia
description For the single differential cross section (SDCS) for hydrogen ionization by electron impact (e-H problem), we propose a correction to the flux formula given by R. Peterkop [Theory of Ionization of Atoms by Electron Impact (Colorado Associated University Press, Boulder, 1977)]. The modification is based on an alternative way of defining the kinetic energy fraction, using Bohm's definition of velocities instead of the usual asymptotic kinematical, or geometrical, approximation. It turns out that the solution-dependent, modified energy fraction is equally related to the components of the probability flux. Compared to what is usually observed, the correction yields a finite and well-behaved SDCS value in the asymmetrical situation where one of the continuum electrons carries all the energy while the other has zero energy. We also discuss, within the S-wave model of the e-H ionization process, the continuity of the SDCS derivative at the equal energy sharing point, a property not so clearly observed in published benchmark results obtained with integral and S-matrix formulas with unequal final states.
publishDate 2015
dc.date.none.fl_str_mv 2015-12
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/11336/60071
Randazzo, Juan Martin; Ancarani, L. U.; Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 92; 6; 12-2015; 1-8
1050-2947
CONICET Digital
CONICET
url http://hdl.handle.net/11336/60071
identifier_str_mv Randazzo, Juan Martin; Ancarani, L. U.; Modification of the quantum mechanical flux formula for electron-hydrogen ionization through Bohm's velocity field; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 92; 6; 12-2015; 1-8
1050-2947
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.92.062706
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.062706
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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