Variable phase equation in quantum scattering

Detalhes bibliográficos
Autor(a) principal: Viterbo,Vitor D.
Data de Publicação: 2014
Outros Autores: Lemes,Nelson H.T., Braga,João P.
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=S1806-11172014000100010
Resumo: This paper presents the derivation and applications of the variable phase equation for single channel quantum scattering. The approach was first presented in 1933 by Morse and Allis and is based on a modification of the Schrödinger equation to a first order differential equation, appropriate to the scattering problem. The dependence of phase shift on angular momentum and energy, together with Levinson's theorem, is discussed. Because the variable phase equation method is easy to program it can be further explored in an introductory quantum mechanics course.
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spelling Variable phase equation in quantum scatteringphase equationscattering matrixphase shiftThis paper presents the derivation and applications of the variable phase equation for single channel quantum scattering. The approach was first presented in 1933 by Morse and Allis and is based on a modification of the Schrödinger equation to a first order differential equation, appropriate to the scattering problem. The dependence of phase shift on angular momentum and energy, together with Levinson's theorem, is discussed. Because the variable phase equation method is easy to program it can be further explored in an introductory quantum mechanics course.Sociedade Brasileira de Física2014-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172014000100010Revista Brasileira de Ensino de Física v.36 n.1 2014reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S1806-11172014000100010info:eu-repo/semantics/openAccessViterbo,Vitor D.Lemes,Nelson H.T.Braga,João P.eng2014-04-29T00:00:00Zoai:scielo:S1806-11172014000100010Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2014-04-29T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Variable phase equation in quantum scattering
title Variable phase equation in quantum scattering
spellingShingle Variable phase equation in quantum scattering
Viterbo,Vitor D.
phase equation
scattering matrix
phase shift
title_short Variable phase equation in quantum scattering
title_full Variable phase equation in quantum scattering
title_fullStr Variable phase equation in quantum scattering
title_full_unstemmed Variable phase equation in quantum scattering
title_sort Variable phase equation in quantum scattering
author Viterbo,Vitor D.
author_facet Viterbo,Vitor D.
Lemes,Nelson H.T.
Braga,João P.
author_role author
author2 Lemes,Nelson H.T.
Braga,João P.
author2_role author
author
dc.contributor.author.fl_str_mv Viterbo,Vitor D.
Lemes,Nelson H.T.
Braga,João P.
dc.subject.por.fl_str_mv phase equation
scattering matrix
phase shift
topic phase equation
scattering matrix
phase shift
description This paper presents the derivation and applications of the variable phase equation for single channel quantum scattering. The approach was first presented in 1933 by Morse and Allis and is based on a modification of the Schrödinger equation to a first order differential equation, appropriate to the scattering problem. The dependence of phase shift on angular momentum and energy, together with Levinson's theorem, is discussed. Because the variable phase equation method is easy to program it can be further explored in an introductory quantum mechanics course.
publishDate 2014
dc.date.none.fl_str_mv 2014-03-01
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=S1806-11172014000100010
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172014000100010
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1806-11172014000100010
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.36 n.1 2014
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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