Weakly bound states in heterogeneous waveguides

Autores
Amore, Paolo; Fernández, Francisco Marcelo; Hoffman, Christoph P.
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the spectrum of the Helmholtz equation in a two-dimensional infinite waveguide, containing a weak heterogeneity localized at an internal point, and obeying Dirichletboundary conditions at its border. We use the variational theorem to derive the conditionfor which the lowest eigenvalue of the spectrum falls below the continuum threshold and abound state appears, localized at the heterogeneity. We devise a rigorous perturbationscheme and derive the exact expression for the energy to third order in theheterogeneity.
Fil: Amore, Paolo. Universidad de Colinas. Facultad de Ciencias; 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. Universidad de Colinas. Facultad de Ciencias; México
Fil: Hoffman, Christoph P.. Universidad de Colinas. Facultad de Ciencias; México
Materia
MESOSCOPIC
NANOSCALE SYSTEMS
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:11336/81875
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/81875
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Weakly bound states in heterogeneous waveguidesAmore, PaoloFernández, Francisco MarceloHoffman, Christoph P.MESOSCOPICNANOSCALE SYSTEMShttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We study the spectrum of the Helmholtz equation in a two-dimensional infinite waveguide, containing a weak heterogeneity localized at an internal point, and obeying Dirichletboundary conditions at its border. We use the variational theorem to derive the conditionfor which the lowest eigenvalue of the spectrum falls below the continuum threshold and abound state appears, localized at the heterogeneity. We devise a rigorous perturbationscheme and derive the exact expression for the energy to third order in theheterogeneity.Fil: Amore, Paolo. Universidad de Colinas. Facultad de Ciencias; 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; Argentina. Universidad de Colinas. Facultad de Ciencias; MéxicoFil: Hoffman, Christoph P.. Universidad de Colinas. Facultad de Ciencias; MéxicoSpringer2016-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/81875Amore, Paolo; Fernández, Francisco Marcelo; Hoffman, Christoph P.; Weakly bound states in heterogeneous waveguides; Springer; European Physical Journal B - Condensed Matter; 89; 7; 7-2016; 163-1801434-60281434-6036CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140/epjb/e2016-70197-0info:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2016-70197-0info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/pdf/1511.07104.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:55:21Zoai:ri.conicet.gov.ar:11336/81875instacron: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 11:55:21.832CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Weakly bound states in heterogeneous waveguides
title Weakly bound states in heterogeneous waveguides
spellingShingle Weakly bound states in heterogeneous waveguides
Amore, Paolo
MESOSCOPIC
NANOSCALE SYSTEMS
title_short Weakly bound states in heterogeneous waveguides
title_full Weakly bound states in heterogeneous waveguides
title_fullStr Weakly bound states in heterogeneous waveguides
title_full_unstemmed Weakly bound states in heterogeneous waveguides
title_sort Weakly bound states in heterogeneous waveguides
dc.creator.none.fl_str_mv Amore, Paolo
Fernández, Francisco Marcelo
Hoffman, Christoph P.
author Amore, Paolo
author_facet Amore, Paolo
Fernández, Francisco Marcelo
Hoffman, Christoph P.
author_role author
author2 Fernández, Francisco Marcelo
Hoffman, Christoph P.
author2_role author
author
dc.subject.none.fl_str_mv MESOSCOPIC
NANOSCALE SYSTEMS
topic MESOSCOPIC
NANOSCALE SYSTEMS
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 spectrum of the Helmholtz equation in a two-dimensional infinite waveguide, containing a weak heterogeneity localized at an internal point, and obeying Dirichletboundary conditions at its border. We use the variational theorem to derive the conditionfor which the lowest eigenvalue of the spectrum falls below the continuum threshold and abound state appears, localized at the heterogeneity. We devise a rigorous perturbationscheme and derive the exact expression for the energy to third order in theheterogeneity.
Fil: Amore, Paolo. Universidad de Colinas. Facultad de Ciencias; 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. Universidad de Colinas. Facultad de Ciencias; México
Fil: Hoffman, Christoph P.. Universidad de Colinas. Facultad de Ciencias; México
description We study the spectrum of the Helmholtz equation in a two-dimensional infinite waveguide, containing a weak heterogeneity localized at an internal point, and obeying Dirichletboundary conditions at its border. We use the variational theorem to derive the conditionfor which the lowest eigenvalue of the spectrum falls below the continuum threshold and abound state appears, localized at the heterogeneity. We devise a rigorous perturbationscheme and derive the exact expression for the energy to third order in theheterogeneity.
publishDate 2016
dc.date.none.fl_str_mv 2016-07
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/11336/81875
Amore, Paolo; Fernández, Francisco Marcelo; Hoffman, Christoph P.; Weakly bound states in heterogeneous waveguides; Springer; European Physical Journal B - Condensed Matter; 89; 7; 7-2016; 163-180
1434-6028
1434-6036
CONICET Digital
CONICET
url http://hdl.handle.net/11336/81875
identifier_str_mv Amore, Paolo; Fernández, Francisco Marcelo; Hoffman, Christoph P.; Weakly bound states in heterogeneous waveguides; Springer; European Physical Journal B - Condensed Matter; 89; 7; 7-2016; 163-180
1434-6028
1434-6036
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140/epjb/e2016-70197-0
info:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2016-70197-0
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/pdf/1511.07104.pdf
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
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 12.982451

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