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 Carvalho, Lindomar Bomfim deSantos, Wytler Cordeiro dosCorrêa, Eberth de Almeida2020-01-24T10:31:47Z2020-01-24T10:31:47Z2019CARVALHO, 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/0000-0002-3437-0822Sociedade Brasileira de Física(CC BY) - Licença Creative Commonsinfo:eu-repo/semantics/openAccessSolution of the 1d Schrödinger Equation for a Symmetric Wellinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlePoço 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)engreponame:Repositório Institucional da UnBinstname:Universidade de Brasília (UnB)instacron:UNBORIGINALARTIGO_SolutionSchrodingerEquation.pdfapplication/pdf7384615http://repositorio2.unb.br/jspui/bitstream/10482/36552/1/ARTIGO_SolutionSchrodingerEquation.pdf90bec26edd43cda117bc149f16fda671MD51open access10482/365522023-08-21 15:26:22.426open accessoai:repositorio2.unb.br:10482/36552Biblioteca Digital de Teses e DissertaçõesPUBhttps://repositorio.unb.br/oai/requestopendoar:2023-08-21T18:26:22Repositório Institucional da UnB - Universidade de Brasília (UnB)false
dc.title.pt_BR.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.keyword.pt_BR.fl_str_mv Poço de potencial
Método WKB
Método de Numerov
topic Poço de potencial
Método WKB
Método de Numerov
Mecânica quântica
dc.subject.keyword.none.fl_str_mv 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.issued.fl_str_mv 2019
dc.date.accessioned.fl_str_mv 2020-01-24T10:31:47Z
dc.date.available.fl_str_mv 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.citation.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.
dc.identifier.uri.fl_str_mv https://repositorio.unb.br/handle/10482/36552
dc.identifier.doi.pt_BR.fl_str_mv https://doi.org/10.1590/1806-9126-rbef-2018-0359
dc.identifier.orcid.none.fl_str_mv 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.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
bitstream.url.fl_str_mv http://repositorio2.unb.br/jspui/bitstream/10482/36552/1/ARTIGO_SolutionSchrodingerEquation.pdf
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bitstream.checksumAlgorithm.fl_str_mv MD5
repository.name.fl_str_mv Repositório Institucional da UnB - Universidade de Brasília (UnB)
repository.mail.fl_str_mv
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