Bound states for the quantum dipole moment in two dimensions

Autores
Amore, Paolo; Fernández, Francisco Marcelo
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We calculate accurate eigenvalues and eigenfunctions of the Schrodinger equation for a ¨ two-dimensional quantum dipole. This model proved useful for the study of elastic effects of a single edge dislocation. We show that the Rayleigh–Ritz variational method with a basis set of Slater-type functions is considerably more efficient than the same approach with the basis set of point-spectrum eigenfunctions of the two-dimensional hydrogen atom used in earlier calculations.
Fil: Amore, Paolo. Universidad de Colima; México
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
Quantum dipole
Elastic effects
Variational method
Slater-type basis set
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:11336/154318
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/154318
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Bound states for the quantum dipole moment in two dimensionsAmore, PaoloFernández, Francisco MarceloQuantum dipoleElastic effectsVariational methodSlater-type basis sethttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We calculate accurate eigenvalues and eigenfunctions of the Schrodinger equation for a ¨ two-dimensional quantum dipole. This model proved useful for the study of elastic effects of a single edge dislocation. We show that the Rayleigh–Ritz variational method with a basis set of Slater-type functions is considerably more efficient than the same approach with the basis set of point-spectrum eigenfunctions of the two-dimensional hydrogen atom used in earlier calculations.Fil: Amore, Paolo. Universidad de Colima; MéxicoFil: 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 Publishing2012-11-16info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/154318Amore, Paolo; Fernández, Francisco Marcelo; Bound states for the quantum dipole moment in two dimensions; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 45; 23; 16-11-2012; 5004-50090953-4075CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/0953-4075/45/23/235004info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0953-4075/45/23/235004info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:37:45Zoai:ri.conicet.gov.ar:11336/154318instacron: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 11:37:45.417CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bound states for the quantum dipole moment in two dimensions
title Bound states for the quantum dipole moment in two dimensions
spellingShingle Bound states for the quantum dipole moment in two dimensions
Amore, Paolo
Quantum dipole
Elastic effects
Variational method
Slater-type basis set
title_short Bound states for the quantum dipole moment in two dimensions
title_full Bound states for the quantum dipole moment in two dimensions
title_fullStr Bound states for the quantum dipole moment in two dimensions
title_full_unstemmed Bound states for the quantum dipole moment in two dimensions
title_sort Bound states for the quantum dipole moment in two dimensions
dc.creator.none.fl_str_mv Amore, Paolo
Fernández, Francisco Marcelo
author Amore, Paolo
author_facet Amore, Paolo
Fernández, Francisco Marcelo
author_role author
author2 Fernández, Francisco Marcelo
author2_role author
dc.subject.none.fl_str_mv Quantum dipole
Elastic effects
Variational method
Slater-type basis set
topic Quantum dipole
Elastic effects
Variational method
Slater-type basis set
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 calculate accurate eigenvalues and eigenfunctions of the Schrodinger equation for a ¨ two-dimensional quantum dipole. This model proved useful for the study of elastic effects of a single edge dislocation. We show that the Rayleigh–Ritz variational method with a basis set of Slater-type functions is considerably more efficient than the same approach with the basis set of point-spectrum eigenfunctions of the two-dimensional hydrogen atom used in earlier calculations.
Fil: Amore, Paolo. Universidad de Colima; México
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 calculate accurate eigenvalues and eigenfunctions of the Schrodinger equation for a ¨ two-dimensional quantum dipole. This model proved useful for the study of elastic effects of a single edge dislocation. We show that the Rayleigh–Ritz variational method with a basis set of Slater-type functions is considerably more efficient than the same approach with the basis set of point-spectrum eigenfunctions of the two-dimensional hydrogen atom used in earlier calculations.
publishDate 2012
dc.date.none.fl_str_mv 2012-11-16
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/11336/154318
Amore, Paolo; Fernández, Francisco Marcelo; Bound states for the quantum dipole moment in two dimensions; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 45; 23; 16-11-2012; 5004-5009
0953-4075
CONICET Digital
CONICET
url http://hdl.handle.net/11336/154318
identifier_str_mv Amore, Paolo; Fernández, Francisco Marcelo; Bound states for the quantum dipole moment in two dimensions; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 45; 23; 16-11-2012; 5004-5009
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/10.1088/0953-4075/45/23/235004
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0953-4075/45/23/235004
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
_version_ 1846782028397150208
score 12.982451

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