Indistinguishability and Counting: Teaching the role of different interpretations in Quantum Mechanics

Detalhes bibliográficos
Autor(a) principal: Filho,O.L.S.
Data de Publicação: 2021
Outros Autores: Ferreira,Marcello
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Brasileira de Ensino de Física (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100607
Resumo: The theme of indistinguishability in the context of Quantum Mechanics as opposed to a distinguishability in the context of Classical Mechanics has been treated for almost a century in terms of an essential difference between the way of counting in Quantum and Classical Mechanics. Such differences are based on the adoption of the principles of Heisenberg, Duality and Complementarity. In this work, we show that it is possible to avoid such considerations and derive the same results considering only the Correspondence Principle. This is done considering that, in the classic context, the quantum discrete energy levels become continuous or almost continuous. From these results, we indicate how to develop a discussion within the scope of teaching Quantum Mechanics that involves such principles and concepts and possible comparisons, working on ideas related to the interpretation of Quantum Mechanics with regard to this phenomenon, rarely developed in traditional courses.
id SBF-1_05817ca4a6671a4170d037a322c9b5b1
oai_identifier_str oai:scielo:S1806-11172021000100607
network_acronym_str SBF-1
network_name_str Revista Brasileira de Ensino de Física (Online)
repository_id_str
spelling Indistinguishability and Counting: Teaching the role of different interpretations in Quantum MechanicsIndistinguishabilityCounting principlesQuantum MechanicsPhysics teaching.The theme of indistinguishability in the context of Quantum Mechanics as opposed to a distinguishability in the context of Classical Mechanics has been treated for almost a century in terms of an essential difference between the way of counting in Quantum and Classical Mechanics. Such differences are based on the adoption of the principles of Heisenberg, Duality and Complementarity. In this work, we show that it is possible to avoid such considerations and derive the same results considering only the Correspondence Principle. This is done considering that, in the classic context, the quantum discrete energy levels become continuous or almost continuous. From these results, we indicate how to develop a discussion within the scope of teaching Quantum Mechanics that involves such principles and concepts and possible comparisons, working on ideas related to the interpretation of Quantum Mechanics with regard to this phenomenon, rarely developed in traditional courses.Sociedade Brasileira de Física2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100607Revista Brasileira de Ensino de Física v.43 2021reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2020-0508info:eu-repo/semantics/openAccessFilho,O.L.S.Ferreira,Marcelloeng2021-04-23T00:00:00Zoai:scielo:S1806-11172021000100607Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2021-04-23T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Indistinguishability and Counting: Teaching the role of different interpretations in Quantum Mechanics
title Indistinguishability and Counting: Teaching the role of different interpretations in Quantum Mechanics
spellingShingle Indistinguishability and Counting: Teaching the role of different interpretations in Quantum Mechanics
Filho,O.L.S.
Indistinguishability
Counting principles
Quantum Mechanics
Physics teaching.
title_short Indistinguishability and Counting: Teaching the role of different interpretations in Quantum Mechanics
title_full Indistinguishability and Counting: Teaching the role of different interpretations in Quantum Mechanics
title_fullStr Indistinguishability and Counting: Teaching the role of different interpretations in Quantum Mechanics
title_full_unstemmed Indistinguishability and Counting: Teaching the role of different interpretations in Quantum Mechanics
title_sort Indistinguishability and Counting: Teaching the role of different interpretations in Quantum Mechanics
author Filho,O.L.S.
author_facet Filho,O.L.S.
Ferreira,Marcello
author_role author
author2 Ferreira,Marcello
author2_role author
dc.contributor.author.fl_str_mv Filho,O.L.S.
Ferreira,Marcello
dc.subject.por.fl_str_mv Indistinguishability
Counting principles
Quantum Mechanics
Physics teaching.
topic Indistinguishability
Counting principles
Quantum Mechanics
Physics teaching.
description The theme of indistinguishability in the context of Quantum Mechanics as opposed to a distinguishability in the context of Classical Mechanics has been treated for almost a century in terms of an essential difference between the way of counting in Quantum and Classical Mechanics. Such differences are based on the adoption of the principles of Heisenberg, Duality and Complementarity. In this work, we show that it is possible to avoid such considerations and derive the same results considering only the Correspondence Principle. This is done considering that, in the classic context, the quantum discrete energy levels become continuous or almost continuous. From these results, we indicate how to develop a discussion within the scope of teaching Quantum Mechanics that involves such principles and concepts and possible comparisons, working on ideas related to the interpretation of Quantum Mechanics with regard to this phenomenon, rarely developed in traditional courses.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100607
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100607
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2020-0508
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Revista Brasileira de Ensino de Física v.43 2021
reponame:Revista Brasileira de Ensino de Física (Online)
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Revista Brasileira de Ensino de Física (Online)
collection Revista Brasileira de Ensino de Física (Online)
repository.name.fl_str_mv Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv ||marcio@sbfisica.org.br
_version_ 1752122425551618048