Solution of the 1d Schrödinger Equation for a Symmetric Well
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
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. |
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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 |