Close Encounters with Heisenberg: Uncertainty in secondary school

Autores
Galanternik, Laura Irene; Arlego, Marcelo José Fabián; Fanaro, Maria de Los Angeles; Gnesi, I.
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we present a pedagogical strategy to introduce the Heisenberg uncertainty principle to high school students. The basis on which this proposal relies is the Fourier transform, connecting the quantum function in the x domain, Ψ(x), with the function in the wave number domain, A(k). This mathematical relationship directly leads to the uncertainty principle: a state localized in the former domain will present an inversely proportional dispersion in the latter domain. Since in acoustic we have an analog situation we can carry out experiments with sounds leading students to the understanding of the uncertainty relation. In our approach a slightly modified musical theme from the Steven Spielberg movie ‘Close Encounters of the Third Kind’ is the starting point to reach the uncertainty relation.
Fil: Galanternik, Laura Irene. Università di Torino; Italia. Enrico Fermi Historical Museum Of Physics; Italia
Fil: Arlego, Marcelo José Fabián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Fanaro, Maria de Los Angeles. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Humanas. Núcleo de Estudios Educacionales y Sociales; Argentina. 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. Centro Científico Tecnológico Conicet - Tandil; Argentina
Fil: Gnesi, I.. Enrico Fermi Historical Museum Of Physics; Italia
Materia
TEACHING
UNCERTAINTY
PRINCIPLE
SECONDARY
SCHOOL
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:11336/118721

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spelling Close Encounters with Heisenberg: Uncertainty in secondary schoolGalanternik, Laura IreneArlego, Marcelo José FabiánFanaro, Maria de Los AngelesGnesi, I.TEACHINGUNCERTAINTYPRINCIPLESECONDARYSCHOOLhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this paper we present a pedagogical strategy to introduce the Heisenberg uncertainty principle to high school students. The basis on which this proposal relies is the Fourier transform, connecting the quantum function in the x domain, Ψ(x), with the function in the wave number domain, A(k). This mathematical relationship directly leads to the uncertainty principle: a state localized in the former domain will present an inversely proportional dispersion in the latter domain. Since in acoustic we have an analog situation we can carry out experiments with sounds leading students to the understanding of the uncertainty relation. In our approach a slightly modified musical theme from the Steven Spielberg movie ‘Close Encounters of the Third Kind’ is the starting point to reach the uncertainty relation.Fil: Galanternik, Laura Irene. Università di Torino; Italia. Enrico Fermi Historical Museum Of Physics; ItaliaFil: Arlego, Marcelo José Fabián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Fanaro, Maria de Los Angeles. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Humanas. Núcleo de Estudios Educacionales y Sociales; Argentina. 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. Centro Científico Tecnológico Conicet - Tandil; ArgentinaFil: Gnesi, I.. Enrico Fermi Historical Museum Of Physics; ItaliaInstitute of Physics2019-01info: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/11336/118721Galanternik, Laura Irene; Arlego, Marcelo José Fabián; Fanaro, Maria de Los Angeles; Gnesi, I.; Close Encounters with Heisenberg: Uncertainty in secondary school; Institute of Physics; Physics Education; 54; 1; 1-2019; 1-71361-6552CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://stacks.iop.org/0031-9120/54/i=1/a=015017?key=crossref.e0395c6c2f4a820dfec99f7ad0f08fb8info:eu-repo/semantics/altIdentifier/doi/10.1088/1361-6552/aaea1ainfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:22:26Zoai:ri.conicet.gov.ar:11336/118721instacron: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 10:22:27.057CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Close Encounters with Heisenberg: Uncertainty in secondary school
title Close Encounters with Heisenberg: Uncertainty in secondary school
spellingShingle Close Encounters with Heisenberg: Uncertainty in secondary school
Galanternik, Laura Irene
TEACHING
UNCERTAINTY
PRINCIPLE
SECONDARY
SCHOOL
title_short Close Encounters with Heisenberg: Uncertainty in secondary school
title_full Close Encounters with Heisenberg: Uncertainty in secondary school
title_fullStr Close Encounters with Heisenberg: Uncertainty in secondary school
title_full_unstemmed Close Encounters with Heisenberg: Uncertainty in secondary school
title_sort Close Encounters with Heisenberg: Uncertainty in secondary school
dc.creator.none.fl_str_mv Galanternik, Laura Irene
Arlego, Marcelo José Fabián
Fanaro, Maria de Los Angeles
Gnesi, I.
author Galanternik, Laura Irene
author_facet Galanternik, Laura Irene
Arlego, Marcelo José Fabián
Fanaro, Maria de Los Angeles
Gnesi, I.
author_role author
author2 Arlego, Marcelo José Fabián
Fanaro, Maria de Los Angeles
Gnesi, I.
author2_role author
author
author
dc.subject.none.fl_str_mv TEACHING
UNCERTAINTY
PRINCIPLE
SECONDARY
SCHOOL
topic TEACHING
UNCERTAINTY
PRINCIPLE
SECONDARY
SCHOOL
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we present a pedagogical strategy to introduce the Heisenberg uncertainty principle to high school students. The basis on which this proposal relies is the Fourier transform, connecting the quantum function in the x domain, Ψ(x), with the function in the wave number domain, A(k). This mathematical relationship directly leads to the uncertainty principle: a state localized in the former domain will present an inversely proportional dispersion in the latter domain. Since in acoustic we have an analog situation we can carry out experiments with sounds leading students to the understanding of the uncertainty relation. In our approach a slightly modified musical theme from the Steven Spielberg movie ‘Close Encounters of the Third Kind’ is the starting point to reach the uncertainty relation.
Fil: Galanternik, Laura Irene. Università di Torino; Italia. Enrico Fermi Historical Museum Of Physics; Italia
Fil: Arlego, Marcelo José Fabián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Fanaro, Maria de Los Angeles. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Humanas. Núcleo de Estudios Educacionales y Sociales; Argentina. 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. Centro Científico Tecnológico Conicet - Tandil; Argentina
Fil: Gnesi, I.. Enrico Fermi Historical Museum Of Physics; Italia
description In this paper we present a pedagogical strategy to introduce the Heisenberg uncertainty principle to high school students. The basis on which this proposal relies is the Fourier transform, connecting the quantum function in the x domain, Ψ(x), with the function in the wave number domain, A(k). This mathematical relationship directly leads to the uncertainty principle: a state localized in the former domain will present an inversely proportional dispersion in the latter domain. Since in acoustic we have an analog situation we can carry out experiments with sounds leading students to the understanding of the uncertainty relation. In our approach a slightly modified musical theme from the Steven Spielberg movie ‘Close Encounters of the Third Kind’ is the starting point to reach the uncertainty relation.
publishDate 2019
dc.date.none.fl_str_mv 2019-01
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/11336/118721
Galanternik, Laura Irene; Arlego, Marcelo José Fabián; Fanaro, Maria de Los Angeles; Gnesi, I.; Close Encounters with Heisenberg: Uncertainty in secondary school; Institute of Physics; Physics Education; 54; 1; 1-2019; 1-7
1361-6552
CONICET Digital
CONICET
url http://hdl.handle.net/11336/118721
identifier_str_mv Galanternik, Laura Irene; Arlego, Marcelo José Fabián; Fanaro, Maria de Los Angeles; Gnesi, I.; Close Encounters with Heisenberg: Uncertainty in secondary school; Institute of Physics; Physics Education; 54; 1; 1-2019; 1-7
1361-6552
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://stacks.iop.org/0031-9120/54/i=1/a=015017?key=crossref.e0395c6c2f4a820dfec99f7ad0f08fb8
info:eu-repo/semantics/altIdentifier/doi/10.1088/1361-6552/aaea1a
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 Institute of Physics
publisher.none.fl_str_mv Institute of Physics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
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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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