Solution of the 1d Schrödinger Equation for a Symmetric Well

Detalhes bibliográficos
Autor(a) principal: Carvalho, Lindomar Bomfim de
Data de Publicação: 2019
Outros Autores: Santos, Wytler Cordeiro dos, Corrêa, Eberth de Almeida
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UnB
Texto Completo: https://repositorio.unb.br/handle/10482/36552
https://doi.org/10.1590/1806-9126-rbef-2018-0359
http://orcid.org/0000-0003-2827-9659
http://orcid.org/0000-0002-1896-4073
http://orcid.org/0000-0002-3437-0822
Resumo: We suggest a mathematical potential well with spherical symmetry and apply to the 1d Schrödinger equation. We use some well known techniques as Stationary Perturbation Theory and WKB to gain insight about the solutions and compare them each other. Finally, we solve the 1d Schrödinger equation using a numerical approach with the so-called Numerov technique for comparison. This can be a good exercise for undergrad students to grasp the above cited techniques in a quantum mechanics course.
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spelling Solution of the 1d Schrödinger Equation for a Symmetric WellPoço de potencialMétodo WKBMétodo de NumerovMecânica quânticaWe suggest a mathematical potential well with spherical symmetry and apply to the 1d Schrödinger equation. We use some well known techniques as Stationary Perturbation Theory and WKB to gain insight about the solutions and compare them each other. Finally, we solve the 1d Schrödinger equation using a numerical approach with the so-called Numerov technique for comparison. This can be a good exercise for undergrad students to grasp the above cited techniques in a quantum mechanics course.Faculdade UnB Gama (FGA)Sociedade Brasileira de Física2020-01-24T10:31:47Z2020-01-24T10:31:47Z2019info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfCARVALHO, Lindomar Bomfim de; SANTOS, Wytler Cordeiro dos; CORREA, Eberth de Almeida. Solution of the 1d Schrödinger Equation for a Symmetric Well. Revista Brasileira de Ensino de Física, v. 41, n. 4, e20180359, 2019. DOI: https://doi.org/10.1590/1806-9126-rbef-2018-0359. Disponível em: http://scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000400402. Acesso em: 23 jan. 2020.https://repositorio.unb.br/handle/10482/36552https://doi.org/10.1590/1806-9126-rbef-2018-0359http://orcid.org/0000-0003-2827-9659http://orcid.org/0000-0002-1896-4073http://orcid.org/0000-0002-3437-0822(CC BY) - Licença Creative Commonsinfo:eu-repo/semantics/openAccessCarvalho, Lindomar Bomfim deSantos, Wytler Cordeiro dosCorrêa, Eberth de Almeidaengreponame:Repositório Institucional da UnBinstname:Universidade de Brasília (UnB)instacron:UNB2023-08-21T18:26:22Zoai:repositorio.unb.br:10482/36552Repositório InstitucionalPUBhttps://repositorio.unb.br/oai/requestrepositorio@unb.bropendoar:2023-08-21T18:26:22Repositório Institucional da UnB - Universidade de Brasília (UnB)false
dc.title.none.fl_str_mv Solution of the 1d Schrödinger Equation for a Symmetric Well
title Solution of the 1d Schrödinger Equation for a Symmetric Well
spellingShingle Solution of the 1d Schrödinger Equation for a Symmetric Well
Carvalho, Lindomar Bomfim de
Poço de potencial
Método WKB
Método de Numerov
Mecânica quântica
title_short Solution of the 1d Schrödinger Equation for a Symmetric Well
title_full Solution of the 1d Schrödinger Equation for a Symmetric Well
title_fullStr Solution of the 1d Schrödinger Equation for a Symmetric Well
title_full_unstemmed Solution of the 1d Schrödinger Equation for a Symmetric Well
title_sort Solution of the 1d Schrödinger Equation for a Symmetric Well
author Carvalho, Lindomar Bomfim de
author_facet Carvalho, Lindomar Bomfim de
Santos, Wytler Cordeiro dos
Corrêa, Eberth de Almeida
author_role author
author2 Santos, Wytler Cordeiro dos
Corrêa, Eberth de Almeida
author2_role author
author
dc.contributor.author.fl_str_mv Carvalho, Lindomar Bomfim de
Santos, Wytler Cordeiro dos
Corrêa, Eberth de Almeida
dc.subject.por.fl_str_mv Poço de potencial
Método WKB
Método de Numerov
Mecânica quântica
topic Poço de potencial
Método WKB
Método de Numerov
Mecânica quântica
description We suggest a mathematical potential well with spherical symmetry and apply to the 1d Schrödinger equation. We use some well known techniques as Stationary Perturbation Theory and WKB to gain insight about the solutions and compare them each other. Finally, we solve the 1d Schrödinger equation using a numerical approach with the so-called Numerov technique for comparison. This can be a good exercise for undergrad students to grasp the above cited techniques in a quantum mechanics course.
publishDate 2019
dc.date.none.fl_str_mv 2019
2020-01-24T10:31:47Z
2020-01-24T10:31:47Z
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 CARVALHO, Lindomar Bomfim de; SANTOS, Wytler Cordeiro dos; CORREA, Eberth de Almeida. Solution of the 1d Schrödinger Equation for a Symmetric Well. Revista Brasileira de Ensino de Física, v. 41, n. 4, e20180359, 2019. DOI: https://doi.org/10.1590/1806-9126-rbef-2018-0359. Disponível em: http://scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000400402. Acesso em: 23 jan. 2020.
https://repositorio.unb.br/handle/10482/36552
https://doi.org/10.1590/1806-9126-rbef-2018-0359
http://orcid.org/0000-0003-2827-9659
http://orcid.org/0000-0002-1896-4073
http://orcid.org/0000-0002-3437-0822
identifier_str_mv CARVALHO, Lindomar Bomfim de; SANTOS, Wytler Cordeiro dos; CORREA, Eberth de Almeida. Solution of the 1d Schrödinger Equation for a Symmetric Well. Revista Brasileira de Ensino de Física, v. 41, n. 4, e20180359, 2019. DOI: https://doi.org/10.1590/1806-9126-rbef-2018-0359. Disponível em: http://scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000400402. Acesso em: 23 jan. 2020.
url https://repositorio.unb.br/handle/10482/36552
https://doi.org/10.1590/1806-9126-rbef-2018-0359
http://orcid.org/0000-0003-2827-9659
http://orcid.org/0000-0002-1896-4073
http://orcid.org/0000-0002-3437-0822
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv (CC BY) - Licença Creative Commons
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (CC BY) - Licença Creative Commons
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 reponame:Repositório Institucional da UnB
instname:Universidade de Brasília (UnB)
instacron:UNB
instname_str Universidade de Brasília (UnB)
instacron_str UNB
institution UNB
reponame_str Repositório Institucional da UnB
collection Repositório Institucional da UnB
repository.name.fl_str_mv Repositório Institucional da UnB - Universidade de Brasília (UnB)
repository.mail.fl_str_mv repositorio@unb.br
_version_ 1810580708655104000

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