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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/59157
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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 |
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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application/pdf application/pdf |
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Erciyes University |
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Erciyes University |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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