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, Correa,Eberth de Almeida
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=S1806-11172019000400402
Resumo: Abstract 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.
id SBF-1_f16112f858c058a43f9b2c457e5e0646
oai_identifier_str oai:scielo:S1806-11172019000400402
network_acronym_str SBF-1
network_name_str Revista Brasileira de Ensino de Física (Online)
repository_id_str
spelling Solution of the 1d Schrödinger Equation for a Symmetric WellPotential WellWKBNumerovAbstract 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.Sociedade Brasileira de Física2019-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000400402Revista Brasileira de Ensino de Física v.41 n.4 2019reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2018-0359info:eu-repo/semantics/openAccessCarvalho,Lindomar Bomfim deSantos,Wytler Cordeiro dosCorrea,Eberth de Almeidaeng2019-04-22T00:00:00Zoai:scielo:S1806-11172019000400402Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2019-04-22T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)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
Potential Well
WKB
Numerov
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
Correa,Eberth de Almeida
author_role author
author2 Santos,Wytler Cordeiro dos
Correa,Eberth de Almeida
author2_role author
author
dc.contributor.author.fl_str_mv Carvalho,Lindomar Bomfim de
Santos,Wytler Cordeiro dos
Correa,Eberth de Almeida
dc.subject.por.fl_str_mv Potential Well
WKB
Numerov
topic Potential Well
WKB
Numerov
description Abstract 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 2019-01-01
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=S1806-11172019000400402
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000400402
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2018-0359
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.41 n.4 2019
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
_version_ 1752122424317444096

Registros relacionados