More on the quantum harmonic oscillator via unilateral Fourier transform
Autor(a) principal: | |
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Data de Publicação: | 2022 |
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=S1806-11172022000100436 |
Resumo: | The stationary states of the quantum harmonic oscillator are properly determined by means of the unilateral Fourier transform without having to recourse to the properties of the confluent hypergeometric functions. This simpler procedure is reminiscent of the algebraic method based on the ladder operators and depends on the value of just one tabulated definite integral related to the ground state. |
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More on the quantum harmonic oscillator via unilateral Fourier transformFourier transformHarmonic oscillatorUnilateral Fourier transformThe stationary states of the quantum harmonic oscillator are properly determined by means of the unilateral Fourier transform without having to recourse to the properties of the confluent hypergeometric functions. This simpler procedure is reminiscent of the algebraic method based on the ladder operators and depends on the value of just one tabulated definite integral related to the ground state.Sociedade Brasileira de Física2022-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100436Revista 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-2022-0038info:eu-repo/semantics/openAccessVieira,Douglas WillianCastro,Antonio Soares deeng2022-05-19T00:00:00Zoai:scielo:S1806-11172022000100436Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2022-05-19T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
More on the quantum harmonic oscillator via unilateral Fourier transform |
title |
More on the quantum harmonic oscillator via unilateral Fourier transform |
spellingShingle |
More on the quantum harmonic oscillator via unilateral Fourier transform Vieira,Douglas Willian Fourier transform Harmonic oscillator Unilateral Fourier transform |
title_short |
More on the quantum harmonic oscillator via unilateral Fourier transform |
title_full |
More on the quantum harmonic oscillator via unilateral Fourier transform |
title_fullStr |
More on the quantum harmonic oscillator via unilateral Fourier transform |
title_full_unstemmed |
More on the quantum harmonic oscillator via unilateral Fourier transform |
title_sort |
More on the quantum harmonic oscillator via unilateral Fourier transform |
author |
Vieira,Douglas Willian |
author_facet |
Vieira,Douglas Willian Castro,Antonio Soares de |
author_role |
author |
author2 |
Castro,Antonio Soares de |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Vieira,Douglas Willian Castro,Antonio Soares de |
dc.subject.por.fl_str_mv |
Fourier transform Harmonic oscillator Unilateral Fourier transform |
topic |
Fourier transform Harmonic oscillator Unilateral Fourier transform |
description |
The stationary states of the quantum harmonic oscillator are properly determined by means of the unilateral Fourier transform without having to recourse to the properties of the confluent hypergeometric functions. This simpler procedure is reminiscent of the algebraic method based on the ladder operators and depends on the value of just one tabulated definite integral related to the ground state. |
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=S1806-11172022000100436 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100436 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1806-9126-rbef-2022-0038 |
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 |
_version_ |
1752122425956368384 |