Weakly (and not so weakly) bound states of a relativistic particle in one dimension

Autores
Amore, Paolo; Fernández, Francisco Marcelo; Jiménez, Enrique
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present the first exact calculation of the energy of the bound state of a one dimensional Dirac massive particle in weak short-range arbitrary potentials, using perturbation theory to fourth order (the analogous result for two dimensional systems with confinement along one direction and arbitrary mass is also calculated to second order). We show that the non-perturbative extension obtained using Padé approximants can provide remarkably good approximations even for deep wells, in certain range of physical parameters. As an example, we discuss the case of two gaussian wells, comparing numerical and analytical results, predicted by our formulas.
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
Fil: Jiménez, Enrique. Universidad de Colima; México
Materia
BOUND STATES IN THE CONTINUUM
PERTURBATION THEORY
QUANTUM WELLS
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:11336/99886
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Weakly (and not so weakly) bound states of a relativistic particle in one dimensionAmore, PaoloFernández, Francisco MarceloJiménez, EnriqueBOUND STATES IN THE CONTINUUMPERTURBATION THEORYQUANTUM WELLShttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We present the first exact calculation of the energy of the bound state of a one dimensional Dirac massive particle in weak short-range arbitrary potentials, using perturbation theory to fourth order (the analogous result for two dimensional systems with confinement along one direction and arbitrary mass is also calculated to second order). We show that the non-perturbative extension obtained using Padé approximants can provide remarkably good approximations even for deep wells, in certain range of physical parameters. As an example, we discuss the case of two gaussian wells, comparing numerical and analytical results, predicted by our formulas.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; ArgentinaFil: Jiménez, Enrique. Universidad de Colima; MéxicoElsevier Science2018-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/99886Amore, Paolo; Fernández, Francisco Marcelo; Jiménez, Enrique; Weakly (and not so weakly) bound states of a relativistic particle in one dimension; Elsevier Science; Physics Letters A; 382; 32; 8-2018; 2097-21020375-9601CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physleta.2018.05.048info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S037596011830608Xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:02:11Zoai:ri.conicet.gov.ar:11336/99886instacron: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 13:02:12.002CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Weakly (and not so weakly) bound states of a relativistic particle in one dimension
title Weakly (and not so weakly) bound states of a relativistic particle in one dimension
spellingShingle Weakly (and not so weakly) bound states of a relativistic particle in one dimension
Amore, Paolo
BOUND STATES IN THE CONTINUUM
PERTURBATION THEORY
QUANTUM WELLS
title_short Weakly (and not so weakly) bound states of a relativistic particle in one dimension
title_full Weakly (and not so weakly) bound states of a relativistic particle in one dimension
title_fullStr Weakly (and not so weakly) bound states of a relativistic particle in one dimension
title_full_unstemmed Weakly (and not so weakly) bound states of a relativistic particle in one dimension
title_sort Weakly (and not so weakly) bound states of a relativistic particle in one dimension
dc.creator.none.fl_str_mv Amore, Paolo
Fernández, Francisco Marcelo
Jiménez, Enrique
author Amore, Paolo
author_facet Amore, Paolo
Fernández, Francisco Marcelo
Jiménez, Enrique
author_role author
author2 Fernández, Francisco Marcelo
Jiménez, Enrique
author2_role author
author
dc.subject.none.fl_str_mv BOUND STATES IN THE CONTINUUM
PERTURBATION THEORY
QUANTUM WELLS
topic BOUND STATES IN THE CONTINUUM
PERTURBATION THEORY
QUANTUM WELLS
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 present the first exact calculation of the energy of the bound state of a one dimensional Dirac massive particle in weak short-range arbitrary potentials, using perturbation theory to fourth order (the analogous result for two dimensional systems with confinement along one direction and arbitrary mass is also calculated to second order). We show that the non-perturbative extension obtained using Padé approximants can provide remarkably good approximations even for deep wells, in certain range of physical parameters. As an example, we discuss the case of two gaussian wells, comparing numerical and analytical results, predicted by our formulas.
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
Fil: Jiménez, Enrique. Universidad de Colima; México
description We present the first exact calculation of the energy of the bound state of a one dimensional Dirac massive particle in weak short-range arbitrary potentials, using perturbation theory to fourth order (the analogous result for two dimensional systems with confinement along one direction and arbitrary mass is also calculated to second order). We show that the non-perturbative extension obtained using Padé approximants can provide remarkably good approximations even for deep wells, in certain range of physical parameters. As an example, we discuss the case of two gaussian wells, comparing numerical and analytical results, predicted by our formulas.
publishDate 2018
dc.date.none.fl_str_mv 2018-08
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/11336/99886
Amore, Paolo; Fernández, Francisco Marcelo; Jiménez, Enrique; Weakly (and not so weakly) bound states of a relativistic particle in one dimension; Elsevier Science; Physics Letters A; 382; 32; 8-2018; 2097-2102
0375-9601
CONICET Digital
CONICET
url http://hdl.handle.net/11336/99886
identifier_str_mv Amore, Paolo; Fernández, Francisco Marcelo; Jiménez, Enrique; Weakly (and not so weakly) bound states of a relativistic particle in one dimension; Elsevier Science; Physics Letters A; 382; 32; 8-2018; 2097-2102
0375-9601
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.physleta.2018.05.048
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S037596011830608X
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 Elsevier Science
publisher.none.fl_str_mv 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 12.993085

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