Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method

Autores
Fanaro, Maria de Los Angeles; Otero, Maria Rita; Arlego, Marcelo José Fabián
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper discusses the teaching of basic quantum mechanics in high school. Rather than following the usual formalism, our approach is based on Feynman’s path integral method. Our presentation makes use of simulation software and avoids sophisticated mathematical formalism. We start by discussing the experimental results that would be observed in an idealized double-slit experiment. With the assistance of software simulations, we focus on the changes observed as the objects’ masses are reduced from macroscopic to atomic values. After that we introduce the basis of quantum mechanics by means of the concepts of path integrals, which henceforth we will call “sum of all alternatives.” Finally, we show how the transition from classical to quantum behavior naturally emerges within the framework of “sum of all alternatives.”
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
Fil: Otero, Maria Rita. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina
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. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina
Materia
TEACHING
QUANTUM
MECHANICS
SECONDARY
SCHOOL
PATH
INTEGRALS
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:11336/76541
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/76541
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network_name_str CONICET Digital (CONICET)
spelling Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals MethodFanaro, Maria de Los AngelesOtero, Maria RitaArlego, Marcelo José FabiánTEACHINGQUANTUMMECHANICSSECONDARYSCHOOLPATHINTEGRALShttps://purl.org/becyt/ford/5.3https://purl.org/becyt/ford/5This paper discusses the teaching of basic quantum mechanics in high school. Rather than following the usual formalism, our approach is based on Feynman’s path integral method. Our presentation makes use of simulation software and avoids sophisticated mathematical formalism. We start by discussing the experimental results that would be observed in an idealized double-slit experiment. With the assistance of software simulations, we focus on the changes observed as the objects’ masses are reduced from macroscopic to atomic values. After that we introduce the basis of quantum mechanics by means of the concepts of path integrals, which henceforth we will call “sum of all alternatives.” Finally, we show how the transition from classical to quantum behavior naturally emerges within the framework of “sum of all alternatives.”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; ArgentinaFil: Otero, Maria Rita. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; ArgentinaFil: 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. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; ArgentinaAmerican Association of Physics Teachers2012-03info: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/11336/76541Fanaro, Maria de Los Angeles; Otero, Maria Rita; Arlego, Marcelo José Fabián; Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method; American Association of Physics Teachers; The Physics Teacher; 50; 3; 3-2012; 156-1590031-921XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1119/1.3685112info:eu-repo/semantics/altIdentifier/url/https://aapt.scitation.org/doi/10.1119/1.3685112info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:35:39Zoai:ri.conicet.gov.ar:11336/76541instacron: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 09:35:39.438CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method
title Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method
spellingShingle Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method
Fanaro, Maria de Los Angeles
TEACHING
QUANTUM
MECHANICS
SECONDARY
SCHOOL
PATH
INTEGRALS
title_short Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method
title_full Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method
title_fullStr Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method
title_full_unstemmed Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method
title_sort Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method
dc.creator.none.fl_str_mv Fanaro, Maria de Los Angeles
Otero, Maria Rita
Arlego, Marcelo José Fabián
author Fanaro, Maria de Los Angeles
author_facet Fanaro, Maria de Los Angeles
Otero, Maria Rita
Arlego, Marcelo José Fabián
author_role author
author2 Otero, Maria Rita
Arlego, Marcelo José Fabián
author2_role author
author
dc.subject.none.fl_str_mv TEACHING
QUANTUM
MECHANICS
SECONDARY
SCHOOL
PATH
INTEGRALS
topic TEACHING
QUANTUM
MECHANICS
SECONDARY
SCHOOL
PATH
INTEGRALS
purl_subject.fl_str_mv https://purl.org/becyt/ford/5.3
https://purl.org/becyt/ford/5
dc.description.none.fl_txt_mv This paper discusses the teaching of basic quantum mechanics in high school. Rather than following the usual formalism, our approach is based on Feynman’s path integral method. Our presentation makes use of simulation software and avoids sophisticated mathematical formalism. We start by discussing the experimental results that would be observed in an idealized double-slit experiment. With the assistance of software simulations, we focus on the changes observed as the objects’ masses are reduced from macroscopic to atomic values. After that we introduce the basis of quantum mechanics by means of the concepts of path integrals, which henceforth we will call “sum of all alternatives.” Finally, we show how the transition from classical to quantum behavior naturally emerges within the framework of “sum of all alternatives.”
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
Fil: Otero, Maria Rita. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina
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. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina
description This paper discusses the teaching of basic quantum mechanics in high school. Rather than following the usual formalism, our approach is based on Feynman’s path integral method. Our presentation makes use of simulation software and avoids sophisticated mathematical formalism. We start by discussing the experimental results that would be observed in an idealized double-slit experiment. With the assistance of software simulations, we focus on the changes observed as the objects’ masses are reduced from macroscopic to atomic values. After that we introduce the basis of quantum mechanics by means of the concepts of path integrals, which henceforth we will call “sum of all alternatives.” Finally, we show how the transition from classical to quantum behavior naturally emerges within the framework of “sum of all alternatives.”
publishDate 2012
dc.date.none.fl_str_mv 2012-03
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/11336/76541
Fanaro, Maria de Los Angeles; Otero, Maria Rita; Arlego, Marcelo José Fabián; Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method; American Association of Physics Teachers; The Physics Teacher; 50; 3; 3-2012; 156-159
0031-921X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/76541
identifier_str_mv Fanaro, Maria de Los Angeles; Otero, Maria Rita; Arlego, Marcelo José Fabián; Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman's Path Integrals Method; American Association of Physics Teachers; The Physics Teacher; 50; 3; 3-2012; 156-159
0031-921X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1119/1.3685112
info:eu-repo/semantics/altIdentifier/url/https://aapt.scitation.org/doi/10.1119/1.3685112
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 American Association of Physics Teachers
publisher.none.fl_str_mv American Association of Physics Teachers
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
_version_ 1844613112707153920
score 13.070432

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