Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field

Detalhes bibliográficos
Autor(a) principal: Villamizar,David Velasco
Data de Publicação: 2018
Outros Autores: Russell,Benjamin
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=S1806-11172018000400604
Resumo: Abstract In this article we present a detailed description, using ladder operators, of an electron in a uniform magnetic field evolving under the Schrödinger equation. We go on to describe the same physical system in terms of relativistic quantum mechanics using the Dirac equation and to compare the two models in detail. The main differences between these two quantum mechanical approaches are discussed and we observe specifically how the relativistic phenomena modify the description of this particular quantum system by isolating effects which only exist in the relativistic model.
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spelling Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic FieldQuantum MechanicsSchrödinger EquationDirac EquationUniform Magnetic FieldAbstract In this article we present a detailed description, using ladder operators, of an electron in a uniform magnetic field evolving under the Schrödinger equation. We go on to describe the same physical system in terms of relativistic quantum mechanics using the Dirac equation and to compare the two models in detail. The main differences between these two quantum mechanical approaches are discussed and we observe specifically how the relativistic phenomena modify the description of this particular quantum system by isolating effects which only exist in the relativistic model.Sociedade Brasileira de Física2018-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172018000400604Revista Brasileira de Ensino de Física v.40 n.4 2018reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2018-0035info:eu-repo/semantics/openAccessVillamizar,David VelascoRussell,Benjamineng2018-06-08T00:00:00Zoai:scielo:S1806-11172018000400604Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2018-06-08T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
title Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
spellingShingle Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
Villamizar,David Velasco
Quantum Mechanics
Schrödinger Equation
Dirac Equation
Uniform Magnetic Field
title_short Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
title_full Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
title_fullStr Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
title_full_unstemmed Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
title_sort Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
author Villamizar,David Velasco
author_facet Villamizar,David Velasco
Russell,Benjamin
author_role author
author2 Russell,Benjamin
author2_role author
dc.contributor.author.fl_str_mv Villamizar,David Velasco
Russell,Benjamin
dc.subject.por.fl_str_mv Quantum Mechanics
Schrödinger Equation
Dirac Equation
Uniform Magnetic Field
topic Quantum Mechanics
Schrödinger Equation
Dirac Equation
Uniform Magnetic Field
description Abstract In this article we present a detailed description, using ladder operators, of an electron in a uniform magnetic field evolving under the Schrödinger equation. We go on to describe the same physical system in terms of relativistic quantum mechanics using the Dirac equation and to compare the two models in detail. The main differences between these two quantum mechanical approaches are discussed and we observe specifically how the relativistic phenomena modify the description of this particular quantum system by isolating effects which only exist in the relativistic model.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
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=S1806-11172018000400604
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172018000400604
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2018-0035
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.40 n.4 2018
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
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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
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