Ladder Operators for the Spherical 3D Harmonic Oscillator

Detalhes bibliográficos
Autor(a) principal: Monteiro,João Marcos Costa
Data de Publicação: 2021
Outros Autores: Drigo Filho,Elso
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=S1806-11172021000100410
Resumo: The Schrödinger equation for an isotropic three-dimensional harmonic oscillator is solved using ladder operators. The starting point is the shape invariance condition, obtained from supersymmetric quantum mechanics. Generalized ladder operators can be constructed for the three spherical spatial coordinates. Special emphasis is given to the adaptation made to each of these coordinates. The approach used is general and is indicated as an alternative method to solve the Schrödinger equation.
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spelling Ladder Operators for the Spherical 3D Harmonic OscillatorLadder operatorsHarmonic oscillatorShape invarianceSupersymmetric quantum mechanicsThe Schrödinger equation for an isotropic three-dimensional harmonic oscillator is solved using ladder operators. The starting point is the shape invariance condition, obtained from supersymmetric quantum mechanics. Generalized ladder operators can be constructed for the three spherical spatial coordinates. Special emphasis is given to the adaptation made to each of these coordinates. The approach used is general and is indicated as an alternative method to solve the Schrödinger equation.Sociedade Brasileira de Física2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100410Revista 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-2020-0393info:eu-repo/semantics/openAccessMonteiro,João Marcos CostaDrigo Filho,Elsoeng2020-12-18T00:00:00Zoai:scielo:S1806-11172021000100410Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2020-12-18T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Ladder Operators for the Spherical 3D Harmonic Oscillator
title Ladder Operators for the Spherical 3D Harmonic Oscillator
spellingShingle Ladder Operators for the Spherical 3D Harmonic Oscillator
Monteiro,João Marcos Costa
Ladder operators
Harmonic oscillator
Shape invariance
Supersymmetric quantum mechanics
title_short Ladder Operators for the Spherical 3D Harmonic Oscillator
title_full Ladder Operators for the Spherical 3D Harmonic Oscillator
title_fullStr Ladder Operators for the Spherical 3D Harmonic Oscillator
title_full_unstemmed Ladder Operators for the Spherical 3D Harmonic Oscillator
title_sort Ladder Operators for the Spherical 3D Harmonic Oscillator
author Monteiro,João Marcos Costa
author_facet Monteiro,João Marcos Costa
Drigo Filho,Elso
author_role author
author2 Drigo Filho,Elso
author2_role author
dc.contributor.author.fl_str_mv Monteiro,João Marcos Costa
Drigo Filho,Elso
dc.subject.por.fl_str_mv Ladder operators
Harmonic oscillator
Shape invariance
Supersymmetric quantum mechanics
topic Ladder operators
Harmonic oscillator
Shape invariance
Supersymmetric quantum mechanics
description The Schrödinger equation for an isotropic three-dimensional harmonic oscillator is solved using ladder operators. The starting point is the shape invariance condition, obtained from supersymmetric quantum mechanics. Generalized ladder operators can be constructed for the three spherical spatial coordinates. Special emphasis is given to the adaptation made to each of these coordinates. The approach used is general and is indicated as an alternative method to solve the Schrödinger equation.
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=S1806-11172021000100410
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100410
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2020-0393
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
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