Ladder Operators for the Spherical 3D Harmonic Oscillator

Detalhes bibliográficos
Autor(a) principal: Monteiro, João Marcos Costa [UNESP]
Data de Publicação: 2020
Outros Autores: Drigo, Elso [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/1806-9126-RBEF-2020-0393
http://hdl.handle.net/11449/211903
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.Universidade Estadual Paulista, Instituto de Biociências, Letras e Ciências ExatasUniversidade Estadual Paulista, Instituto de Biociências, Letras e Ciências ExatasSociedade Brasileira de FísicaUniversidade Estadual Paulista (Unesp)Monteiro, João Marcos Costa [UNESP]Drigo, Elso [UNESP]2021-07-14T10:31:27Z2021-07-14T10:31:27Z2020-12-21info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article-application/pdfhttp://dx.doi.org/10.1590/1806-9126-RBEF-2020-0393Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 43, p. -, 2020.1806-11171806-9126http://hdl.handle.net/11449/21190310.1590/1806-9126-RBEF-2020-0393S1806-11172021000100410S1806-11172021000100410.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRevista Brasileira de Ensino de Físicainfo:eu-repo/semantics/openAccess2024-01-18T06:29:25Zoai:repositorio.unesp.br:11449/211903Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:22:00.878853Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)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 [UNESP]
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 [UNESP]
author_facet Monteiro, João Marcos Costa [UNESP]
Drigo, Elso [UNESP]
author_role author
author2 Drigo, Elso [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Monteiro, João Marcos Costa [UNESP]
Drigo, Elso [UNESP]
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 2020
dc.date.none.fl_str_mv 2020-12-21
2021-07-14T10:31:27Z
2021-07-14T10:31:27Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1590/1806-9126-RBEF-2020-0393
Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 43, p. -, 2020.
1806-1117
1806-9126
http://hdl.handle.net/11449/211903
10.1590/1806-9126-RBEF-2020-0393
S1806-11172021000100410
S1806-11172021000100410.pdf
url http://dx.doi.org/10.1590/1806-9126-RBEF-2020-0393
http://hdl.handle.net/11449/211903
identifier_str_mv Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 43, p. -, 2020.
1806-1117
1806-9126
10.1590/1806-9126-RBEF-2020-0393
S1806-11172021000100410
S1806-11172021000100410.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Revista Brasileira de Ensino de Física
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv -
application/pdf
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 SciELO
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129511114407936

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