Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r

Autores
Fernández, Francisco Marcelo
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the connection between the solutions of the Schrödinger equation with an inverse square-root potential in three and one dimension. In particular we show that an approximate analytical expression for the eigenvalues of the one-dimensional model also applies to the three-dimensional one for zero angular-momentum quantum number.
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
Central-Field Model
Exact Solution
Inverse Square-Root Potential
One-Dimensional Model
Riccati-Padé Method
Wkb Approach
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:11336/64294
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√rFernández, Francisco MarceloCentral-Field ModelExact SolutionInverse Square-Root PotentialOne-Dimensional ModelRiccati-Padé MethodWkb Approachhttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We study the connection between the solutions of the Schrödinger equation with an inverse square-root potential in three and one dimension. In particular we show that an approximate analytical expression for the eigenvalues of the one-dimensional model also applies to the three-dimensional one for zero angular-momentum quantum number.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; ArgentinaAcademic Press Inc Elsevier Science2017-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/64294Fernández, Francisco Marcelo; Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r; Academic Press Inc Elsevier Science; Annals of Physics (New York); 379; 4-2017; 83-850003-4916CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2017.02.011info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:06:29Zoai:ri.conicet.gov.ar:11336/64294instacron: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:34982025-09-10 13:06:30.25CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r
title Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r
spellingShingle Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r
Fernández, Francisco Marcelo
Central-Field Model
Exact Solution
Inverse Square-Root Potential
One-Dimensional Model
Riccati-Padé Method
Wkb Approach
title_short Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r
title_full Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r
title_fullStr Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r
title_full_unstemmed Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r
title_sort Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r
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 Central-Field Model
Exact Solution
Inverse Square-Root Potential
One-Dimensional Model
Riccati-Padé Method
Wkb Approach
topic Central-Field Model
Exact Solution
Inverse Square-Root Potential
One-Dimensional Model
Riccati-Padé Method
Wkb Approach
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 study the connection between the solutions of the Schrödinger equation with an inverse square-root potential in three and one dimension. In particular we show that an approximate analytical expression for the eigenvalues of the one-dimensional model also applies to the three-dimensional one for zero angular-momentum quantum number.
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 study the connection between the solutions of the Schrödinger equation with an inverse square-root potential in three and one dimension. In particular we show that an approximate analytical expression for the eigenvalues of the one-dimensional model also applies to the three-dimensional one for zero angular-momentum quantum number.
publishDate 2017
dc.date.none.fl_str_mv 2017-04
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/11336/64294
Fernández, Francisco Marcelo; Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r; Academic Press Inc Elsevier Science; Annals of Physics (New York); 379; 4-2017; 83-85
0003-4916
CONICET Digital
CONICET
url http://hdl.handle.net/11336/64294
identifier_str_mv Fernández, Francisco Marcelo; Comment on: Exact solution of theinverse-square-root potential V(r) = −α/√r; Academic Press Inc Elsevier Science; Annals of Physics (New York); 379; 4-2017; 83-85
0003-4916
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2017.02.011
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 Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
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 13.004268

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