The virtual double-slit experiment to the High School level (Part II): a quantum analysis of behavior corpuscular and wave aspect of the light

Detalhes bibliográficos
Autor(a) principal: Ferreira, Danilo Cardoso
Data de Publicação: 2019
Outros Autores: de Souza Filho, Moacir Pereira
Tipo de documento: Artigo
Idioma: por
Título da fonte: Caderno Brasileiro de Ensino de Física (Online)
Texto Completo: https://periodicos.ufsc.br/index.php/fisica/article/view/2175-7941.2019v36n1p302
Resumo: This work analyzes the virtual double slit experiment and it has been divided into two parts: Part I, which dealt with the classical behavior analysis (corpuscular and wave) and Part II (this article) addresses the quantum behavior of light (photons). The methodology process has been divided into three (3) steps: (i) First, we analyze based on the use of virtual experiments, the behavior of a beam of light across a wall with two slits. In this case, it is light shows interference. (ii) Then, we use the same experiment, but in this situation with individual photons. The photons behave like waves and show interference, such as before. (iii) Finally, to find out what was happening, put a detector near the cracks. In this situation, strangely, the photons behave like particles (corpuscles). In order to explain these results, we use the notation of brackets proposed by Paul Dirac (1902-1984) that allows us to represent the state vectors, which allow us to show, mathematically, what happens in the double slit experiment with quantum objects. Due to the mathematical complexity (for high school) intrinsic to the notation of Dirac we proposed a sort of "translation" of this mathematical resource for this level. We believe that this device could be useful for understanding other concepts of quantum mechanics, such as spin 1/2 and two-tier systems’.
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spelling The virtual double-slit experiment to the High School level (Part II): a quantum analysis of behavior corpuscular and wave aspect of the lightO experimento virtual da dupla fenda ao nível do ensino médio (Parte II): uma análise quântica do comportamento corpuscular e ondulatório da luzThis work analyzes the virtual double slit experiment and it has been divided into two parts: Part I, which dealt with the classical behavior analysis (corpuscular and wave) and Part II (this article) addresses the quantum behavior of light (photons). The methodology process has been divided into three (3) steps: (i) First, we analyze based on the use of virtual experiments, the behavior of a beam of light across a wall with two slits. In this case, it is light shows interference. (ii) Then, we use the same experiment, but in this situation with individual photons. The photons behave like waves and show interference, such as before. (iii) Finally, to find out what was happening, put a detector near the cracks. In this situation, strangely, the photons behave like particles (corpuscles). In order to explain these results, we use the notation of brackets proposed by Paul Dirac (1902-1984) that allows us to represent the state vectors, which allow us to show, mathematically, what happens in the double slit experiment with quantum objects. Due to the mathematical complexity (for high school) intrinsic to the notation of Dirac we proposed a sort of "translation" of this mathematical resource for this level. We believe that this device could be useful for understanding other concepts of quantum mechanics, such as spin 1/2 and two-tier systems’.Nosso trabalho analisa o experimento virtual da dupla fenda e está dividido em duas partes: a Parte I (publicada) que tratou da análise clássica do comportamento (corpuscular e ondulatório) e a Parte II (o presente artigo) que aborda o comportamento quântico da luz (fótons). Nosso processo metodológico se dividiu em 3 (três) etapas: (i) analisamos, primeiramente, com o auxílio de experimentos virtuais, o comportamento de um feixe de luz que atravessou uma parede com duas fendas. Neste caso, percebe-se que a luz sofre interferência. (ii) Em seguida, utilizamos o mesmo experimento, mas agora com fótons individuais. Os fótons se comportam como ondas e sofrem interferência, como antes. (iii) Finalmente, para descobrir o que estava acontecendo, colocamos um detector próximo às fendas. Nesta situação, estranhamente, os fótons se comportaram como partículas (corpúsculos). Com o objetivo de explicar estes resultados, utilizamos a notação de brackets proposta por Paul Dirac (1902-1984) que nos permite representar os vetores de estado, os quais nos propiciam mostrar, matematicamente, o que ocorre no experimento da dupla fenda com objetos quânticos. Devido à complexidade matemática (para o ensino médio) intrínseca à notação de Dirac fizemos uma espécie de “tradução” deste recurso matemático para este nível de ensino. Acreditamos que este artifício poderá ser útil para a compreensão de outros conceitos da mecânica quântica, tais como spin 1/2 e sistemas de dois níveis.Imprensa Universitária - UFSC2019-05-13info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufsc.br/index.php/fisica/article/view/2175-7941.2019v36n1p30210.5007/2175-7941.2019v36n1p302Caderno Brasileiro de Ensino de Física; v. 36 n. 1 (2019); 302-3292175-79411677-2334reponame:Caderno Brasileiro de Ensino de Física (Online)instname:Universidade Federal de Santa Catarina (UFSC)instacron:UFSCporhttps://periodicos.ufsc.br/index.php/fisica/article/view/2175-7941.2019v36n1p302/39941Copyright (c) 2019 Caderno Brasileiro de Ensino de Físicainfo:eu-repo/semantics/openAccessFerreira, Danilo Cardosode Souza Filho, Moacir Pereira2019-07-25T15:50:51Zoai:periodicos.ufsc.br:article/57914Revistahttp://www.periodicos.ufsc.br/index.php/fisicaPUBhttps://periodicos.ufsc.br/index.php/fisica/oaicbefisica@gmail.com||fscccef@fsc.ufsc.br|| cbefisica@gmail.com2175-79411677-2334opendoar:2019-07-25T15:50:51Caderno Brasileiro de Ensino de Física (Online) - Universidade Federal de Santa Catarina (UFSC)false
dc.title.none.fl_str_mv The virtual double-slit experiment to the High School level (Part II): a quantum analysis of behavior corpuscular and wave aspect of the light
O experimento virtual da dupla fenda ao nível do ensino médio (Parte II): uma análise quântica do comportamento corpuscular e ondulatório da luz
title The virtual double-slit experiment to the High School level (Part II): a quantum analysis of behavior corpuscular and wave aspect of the light
spellingShingle The virtual double-slit experiment to the High School level (Part II): a quantum analysis of behavior corpuscular and wave aspect of the light
Ferreira, Danilo Cardoso
title_short The virtual double-slit experiment to the High School level (Part II): a quantum analysis of behavior corpuscular and wave aspect of the light
title_full The virtual double-slit experiment to the High School level (Part II): a quantum analysis of behavior corpuscular and wave aspect of the light
title_fullStr The virtual double-slit experiment to the High School level (Part II): a quantum analysis of behavior corpuscular and wave aspect of the light
title_full_unstemmed The virtual double-slit experiment to the High School level (Part II): a quantum analysis of behavior corpuscular and wave aspect of the light
title_sort The virtual double-slit experiment to the High School level (Part II): a quantum analysis of behavior corpuscular and wave aspect of the light
author Ferreira, Danilo Cardoso
author_facet Ferreira, Danilo Cardoso
de Souza Filho, Moacir Pereira
author_role author
author2 de Souza Filho, Moacir Pereira
author2_role author
dc.contributor.author.fl_str_mv Ferreira, Danilo Cardoso
de Souza Filho, Moacir Pereira
description This work analyzes the virtual double slit experiment and it has been divided into two parts: Part I, which dealt with the classical behavior analysis (corpuscular and wave) and Part II (this article) addresses the quantum behavior of light (photons). The methodology process has been divided into three (3) steps: (i) First, we analyze based on the use of virtual experiments, the behavior of a beam of light across a wall with two slits. In this case, it is light shows interference. (ii) Then, we use the same experiment, but in this situation with individual photons. The photons behave like waves and show interference, such as before. (iii) Finally, to find out what was happening, put a detector near the cracks. In this situation, strangely, the photons behave like particles (corpuscles). In order to explain these results, we use the notation of brackets proposed by Paul Dirac (1902-1984) that allows us to represent the state vectors, which allow us to show, mathematically, what happens in the double slit experiment with quantum objects. Due to the mathematical complexity (for high school) intrinsic to the notation of Dirac we proposed a sort of "translation" of this mathematical resource for this level. We believe that this device could be useful for understanding other concepts of quantum mechanics, such as spin 1/2 and two-tier systems’.
publishDate 2019
dc.date.none.fl_str_mv 2019-05-13
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dc.identifier.uri.fl_str_mv https://periodicos.ufsc.br/index.php/fisica/article/view/2175-7941.2019v36n1p302
10.5007/2175-7941.2019v36n1p302
url https://periodicos.ufsc.br/index.php/fisica/article/view/2175-7941.2019v36n1p302
identifier_str_mv 10.5007/2175-7941.2019v36n1p302
dc.language.iso.fl_str_mv por
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dc.relation.none.fl_str_mv https://periodicos.ufsc.br/index.php/fisica/article/view/2175-7941.2019v36n1p302/39941
dc.rights.driver.fl_str_mv Copyright (c) 2019 Caderno Brasileiro de Ensino de Física
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2019 Caderno Brasileiro de Ensino de Física
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Imprensa Universitária - UFSC
publisher.none.fl_str_mv Imprensa Universitária - UFSC
dc.source.none.fl_str_mv Caderno Brasileiro de Ensino de Física; v. 36 n. 1 (2019); 302-329
2175-7941
1677-2334
reponame:Caderno Brasileiro de Ensino de Física (Online)
instname:Universidade Federal de Santa Catarina (UFSC)
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instname_str Universidade Federal de Santa Catarina (UFSC)
instacron_str UFSC
institution UFSC
reponame_str Caderno Brasileiro de Ensino de Física (Online)
collection Caderno Brasileiro de Ensino de Física (Online)
repository.name.fl_str_mv Caderno Brasileiro de Ensino de Física (Online) - Universidade Federal de Santa Catarina (UFSC)
repository.mail.fl_str_mv cbefisica@gmail.com||fscccef@fsc.ufsc.br|| cbefisica@gmail.com
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