Ladder Operators for the Spherical 3D Harmonic Oscillator
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | |
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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Repositório Institucional da UNESP |
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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 |