General recursive solution for one-dimensional quantum potentials: a simple tool for applied physics

Detalhes bibliográficos
Autor(a) principal: Morelhão,Sérgio L.
Data de Publicação: 2007
Outros Autores: Perrotta,André V.
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=S1806-11172007000300004
Resumo: A revision of the recursive method proposed by S.A. Shakir [Am. J. Phys. 52, 845 (1984)] to solve bound eigenvalues of the Schrödinger equation is presented. Equations are further simplified and generalized for computing wave functions of any given one-dimensional potential, providing accurate solutions not only for bound states but also for scattering and resonant states, as demonstrated here for a few examples.
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spelling General recursive solution for one-dimensional quantum potentials: a simple tool for applied physicsone-dimensional quantum potentialsnumerical solutionscomputational methodsSchrödinger equationA revision of the recursive method proposed by S.A. Shakir [Am. J. Phys. 52, 845 (1984)] to solve bound eigenvalues of the Schrödinger equation is presented. Equations are further simplified and generalized for computing wave functions of any given one-dimensional potential, providing accurate solutions not only for bound states but also for scattering and resonant states, as demonstrated here for a few examples.Sociedade Brasileira de Física2007-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172007000300004Revista Brasileira de Ensino de Física v.29 n.3 2007reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBFinfo:eu-repo/semantics/openAccessMorelhão,Sérgio L.Perrotta,André V.eng2007-12-07T00:00:00Zoai:scielo:S1806-11172007000300004Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2007-12-07T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv General recursive solution for one-dimensional quantum potentials: a simple tool for applied physics
title General recursive solution for one-dimensional quantum potentials: a simple tool for applied physics
spellingShingle General recursive solution for one-dimensional quantum potentials: a simple tool for applied physics
Morelhão,Sérgio L.
one-dimensional quantum potentials
numerical solutions
computational methods
Schrödinger equation
title_short General recursive solution for one-dimensional quantum potentials: a simple tool for applied physics
title_full General recursive solution for one-dimensional quantum potentials: a simple tool for applied physics
title_fullStr General recursive solution for one-dimensional quantum potentials: a simple tool for applied physics
title_full_unstemmed General recursive solution for one-dimensional quantum potentials: a simple tool for applied physics
title_sort General recursive solution for one-dimensional quantum potentials: a simple tool for applied physics
author Morelhão,Sérgio L.
author_facet Morelhão,Sérgio L.
Perrotta,André V.
author_role author
author2 Perrotta,André V.
author2_role author
dc.contributor.author.fl_str_mv Morelhão,Sérgio L.
Perrotta,André V.
dc.subject.por.fl_str_mv one-dimensional quantum potentials
numerical solutions
computational methods
Schrödinger equation
topic one-dimensional quantum potentials
numerical solutions
computational methods
Schrödinger equation
description A revision of the recursive method proposed by S.A. Shakir [Am. J. Phys. 52, 845 (1984)] to solve bound eigenvalues of the Schrödinger equation is presented. Equations are further simplified and generalized for computing wave functions of any given one-dimensional potential, providing accurate solutions not only for bound states but also for scattering and resonant states, as demonstrated here for a few examples.
publishDate 2007
dc.date.none.fl_str_mv 2007-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172007000300004
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172007000300004
dc.language.iso.fl_str_mv eng
language eng
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.29 n.3 2007
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
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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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