Angular invariant quantum mechanics in arbitrary dimension

Detalhes bibliográficos
Autor(a) principal: Giardino,Sergio
Data de Publicação: 2013
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=S1806-11172013000300007
Resumo: One dimensional quantum mechanics problems, namely the infinite potential well, the harmonic oscillator, the free particle, the Dirac delta potential, the finite well and the finite barrier are generalized for finite arbitrary dimension in a radially symmetric, or angular invariant, manner. This generalization enables the Schrödinger equation solutions to be visualized for Bessel functions and Whittaker functions, and it also enables connections to multi-dimensional physics theories, like string theory.
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spelling Angular invariant quantum mechanics in arbitrary dimensionradially symmetric quantum problemsradially symmetric quantum wellOne dimensional quantum mechanics problems, namely the infinite potential well, the harmonic oscillator, the free particle, the Dirac delta potential, the finite well and the finite barrier are generalized for finite arbitrary dimension in a radially symmetric, or angular invariant, manner. This generalization enables the Schrödinger equation solutions to be visualized for Bessel functions and Whittaker functions, and it also enables connections to multi-dimensional physics theories, like string theory.Sociedade Brasileira de Física2013-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000300007Revista Brasileira de Ensino de Física v.35 n.3 2013reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S1806-11172013000300007info:eu-repo/semantics/openAccessGiardino,Sergioeng2013-10-31T00:00:00Zoai:scielo:S1806-11172013000300007Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2013-10-31T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Angular invariant quantum mechanics in arbitrary dimension
title Angular invariant quantum mechanics in arbitrary dimension
spellingShingle Angular invariant quantum mechanics in arbitrary dimension
Giardino,Sergio
radially symmetric quantum problems
radially symmetric quantum well
title_short Angular invariant quantum mechanics in arbitrary dimension
title_full Angular invariant quantum mechanics in arbitrary dimension
title_fullStr Angular invariant quantum mechanics in arbitrary dimension
title_full_unstemmed Angular invariant quantum mechanics in arbitrary dimension
title_sort Angular invariant quantum mechanics in arbitrary dimension
author Giardino,Sergio
author_facet Giardino,Sergio
author_role author
dc.contributor.author.fl_str_mv Giardino,Sergio
dc.subject.por.fl_str_mv radially symmetric quantum problems
radially symmetric quantum well
topic radially symmetric quantum problems
radially symmetric quantum well
description One dimensional quantum mechanics problems, namely the infinite potential well, the harmonic oscillator, the free particle, the Dirac delta potential, the finite well and the finite barrier are generalized for finite arbitrary dimension in a radially symmetric, or angular invariant, manner. This generalization enables the Schrödinger equation solutions to be visualized for Bessel functions and Whittaker functions, and it also enables connections to multi-dimensional physics theories, like string theory.
publishDate 2013
dc.date.none.fl_str_mv 2013-09-01
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=S1806-11172013000300007
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000300007
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1806-11172013000300007
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.35 n.3 2013
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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