Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths

Autores
Arlego, Marcelo José Fabián; Fanaro, Maria de Los Angeles
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work, we present a pedagogical strategy to describe the diffraction phenomenon based on a didactic adaptation of the Feynman’s path integrals method, which uses only high school mathematics. The advantage of our approach is that it allows to describe the diffraction in a fully quantum context, where superposition and probabilistic aspects emerge naturally. Our method is based on a time-independent formulation, which allows modelling the phenomenon in geometric terms and trajectories in real space, which is an advantage from the didactic point of view. A distinctive aspect of our work is the description of the series of transformations and didactic transpositions of the fundamental equations that give rise to a common quantum framework for light and matter. This is something that is usually masked by the common use, and that to our knowledge has not been emphasized enough in a unified way. Finally, the role of the superposition of nonclassical paths and their didactic potential are briefly mentioned.
Fil: Arlego, Marcelo José Fabián. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Fanaro, Maria de Los Angeles. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
quantum mechanics
light and matter diffractio
Feynman?s Sum of all Path
high education
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:11336/59157

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spelling Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all PathsArlego, Marcelo José FabiánFanaro, Maria de Los Angelesquantum mechanicslight and matter diffractioFeynman?s Sum of all Pathhigh educationhttps://purl.org/becyt/ford/5.3https://purl.org/becyt/ford/5In this work, we present a pedagogical strategy to describe the diffraction phenomenon based on a didactic adaptation of the Feynman’s path integrals method, which uses only high school mathematics. The advantage of our approach is that it allows to describe the diffraction in a fully quantum context, where superposition and probabilistic aspects emerge naturally. Our method is based on a time-independent formulation, which allows modelling the phenomenon in geometric terms and trajectories in real space, which is an advantage from the didactic point of view. A distinctive aspect of our work is the description of the series of transformations and didactic transpositions of the fundamental equations that give rise to a common quantum framework for light and matter. This is something that is usually masked by the common use, and that to our knowledge has not been emphasized enough in a unified way. Finally, the role of the superposition of nonclassical paths and their didactic potential are briefly mentioned.Fil: Arlego, Marcelo José Fabián. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Fanaro, Maria de Los Angeles. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaErciyes University2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/59157Arlego, Marcelo José Fabián; Fanaro, Maria de Los Angeles; Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths ; Erciyes University; European Journal of Physics Education; 8; 2; 6-2017; 16-261309-7202CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.eu-journal.org/index.php/EJPE/article/view/164info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:29:32Zoai:ri.conicet.gov.ar:11336/59157instacron: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:34982025-09-29 10:29:32.941CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths
title Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths
spellingShingle Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths
Arlego, Marcelo José Fabián
quantum mechanics
light and matter diffractio
Feynman?s Sum of all Path
high education
title_short Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths
title_full Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths
title_fullStr Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths
title_full_unstemmed Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths
title_sort Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths
dc.creator.none.fl_str_mv Arlego, Marcelo José Fabián
Fanaro, Maria de Los Angeles
author Arlego, Marcelo José Fabián
author_facet Arlego, Marcelo José Fabián
Fanaro, Maria de Los Angeles
author_role author
author2 Fanaro, Maria de Los Angeles
author2_role author
dc.subject.none.fl_str_mv quantum mechanics
light and matter diffractio
Feynman?s Sum of all Path
high education
topic quantum mechanics
light and matter diffractio
Feynman?s Sum of all Path
high education
purl_subject.fl_str_mv https://purl.org/becyt/ford/5.3
https://purl.org/becyt/ford/5
dc.description.none.fl_txt_mv In this work, we present a pedagogical strategy to describe the diffraction phenomenon based on a didactic adaptation of the Feynman’s path integrals method, which uses only high school mathematics. The advantage of our approach is that it allows to describe the diffraction in a fully quantum context, where superposition and probabilistic aspects emerge naturally. Our method is based on a time-independent formulation, which allows modelling the phenomenon in geometric terms and trajectories in real space, which is an advantage from the didactic point of view. A distinctive aspect of our work is the description of the series of transformations and didactic transpositions of the fundamental equations that give rise to a common quantum framework for light and matter. This is something that is usually masked by the common use, and that to our knowledge has not been emphasized enough in a unified way. Finally, the role of the superposition of nonclassical paths and their didactic potential are briefly mentioned.
Fil: Arlego, Marcelo José Fabián. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Fanaro, Maria de Los Angeles. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In this work, we present a pedagogical strategy to describe the diffraction phenomenon based on a didactic adaptation of the Feynman’s path integrals method, which uses only high school mathematics. The advantage of our approach is that it allows to describe the diffraction in a fully quantum context, where superposition and probabilistic aspects emerge naturally. Our method is based on a time-independent formulation, which allows modelling the phenomenon in geometric terms and trajectories in real space, which is an advantage from the didactic point of view. A distinctive aspect of our work is the description of the series of transformations and didactic transpositions of the fundamental equations that give rise to a common quantum framework for light and matter. This is something that is usually masked by the common use, and that to our knowledge has not been emphasized enough in a unified way. Finally, the role of the superposition of nonclassical paths and their didactic potential are briefly mentioned.
publishDate 2017
dc.date.none.fl_str_mv 2017-06
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/11336/59157
Arlego, Marcelo José Fabián; Fanaro, Maria de Los Angeles; Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths ; Erciyes University; European Journal of Physics Education; 8; 2; 6-2017; 16-26
1309-7202
CONICET Digital
CONICET
url http://hdl.handle.net/11336/59157
identifier_str_mv Arlego, Marcelo José Fabián; Fanaro, Maria de Los Angeles; Light and matter diffraction from the unified viewpoint of Feynman’s Sum of all Paths ; Erciyes University; European Journal of Physics Education; 8; 2; 6-2017; 16-26
1309-7202
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.eu-journal.org/index.php/EJPE/article/view/164
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 Erciyes University
publisher.none.fl_str_mv Erciyes University
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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