Applications of the Numerov method to simple quantum systems using Python

Detalhes bibliográficos
Autor(a) principal: Caruso,Francisco
Data de Publicação: 2022
Outros Autores: Oguri,Vitor, Silveira,Felipe
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=S1806-11172022000100442
Resumo: Numerov’s numerical method is developed in a didactic way by using Python in its Jupyter Notebook version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by the Morse potential and a quantum dot. After a brief introduction to the Numerov method, the complete code to calculate the eigenfunctions and eigenvalues of the hydrogen atom is presented. The necessary code changes to compute the other two examples are also provided in the sequel.
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spelling Applications of the Numerov method to simple quantum systems using PythonHydrogen AtomMorse PotentialQuantum DotNumerov methodPythonNumerov’s numerical method is developed in a didactic way by using Python in its Jupyter Notebook version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by the Morse potential and a quantum dot. After a brief introduction to the Numerov method, the complete code to calculate the eigenfunctions and eigenvalues of the hydrogen atom is presented. The necessary code changes to compute the other two examples are also provided in the sequel.Sociedade Brasileira de Física2022-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100442Revista Brasileira de Ensino de Física v.44 2022reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2022-0098info:eu-repo/semantics/openAccessCaruso,FranciscoOguri,VitorSilveira,Felipeeng2022-06-07T00:00:00Zoai:scielo:S1806-11172022000100442Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2022-06-07T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Applications of the Numerov method to simple quantum systems using Python
title Applications of the Numerov method to simple quantum systems using Python
spellingShingle Applications of the Numerov method to simple quantum systems using Python
Caruso,Francisco
Hydrogen Atom
Morse Potential
Quantum Dot
Numerov method
Python
title_short Applications of the Numerov method to simple quantum systems using Python
title_full Applications of the Numerov method to simple quantum systems using Python
title_fullStr Applications of the Numerov method to simple quantum systems using Python
title_full_unstemmed Applications of the Numerov method to simple quantum systems using Python
title_sort Applications of the Numerov method to simple quantum systems using Python
author Caruso,Francisco
author_facet Caruso,Francisco
Oguri,Vitor
Silveira,Felipe
author_role author
author2 Oguri,Vitor
Silveira,Felipe
author2_role author
author
dc.contributor.author.fl_str_mv Caruso,Francisco
Oguri,Vitor
Silveira,Felipe
dc.subject.por.fl_str_mv Hydrogen Atom
Morse Potential
Quantum Dot
Numerov method
Python
topic Hydrogen Atom
Morse Potential
Quantum Dot
Numerov method
Python
description Numerov’s numerical method is developed in a didactic way by using Python in its Jupyter Notebook version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by the Morse potential and a quantum dot. After a brief introduction to the Numerov method, the complete code to calculate the eigenfunctions and eigenvalues of the hydrogen atom is presented. The necessary code changes to compute the other two examples are also provided in the sequel.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-01
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=S1806-11172022000100442
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100442
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2022-0098
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.44 2022
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
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