Frustating use of the Laplace transform for the quantum states of a particle in a box

Detalhes bibliográficos
Autor(a) principal: Castro, Antonio S. De [UNESP]
Data de Publicação: 2020
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/1806-9126-RBEF-2020-0079
http://hdl.handle.net/11449/211900
Resumo: In a recent paper diffused in the literature, the quantum problem of a particle in a infinite square well potential was claimed to be solved via Laplace transform. Surprisingly, the correct solutions were found for an eigenvalue problem with variable defined on a finite range. As a matter of fact, the authors have misused the Laplace transform of the time-independent Schrödinger equation, and they have also used incorrectly the inversion process. In the present paper it is pointed out carefully and clearly those mistakes that might occur with the use of inappropriate methods for a given eigenvalue problem.
id UNSP_1db6805066573d93efe175ebd468d896
oai_identifier_str oai:repositorio.unesp.br:11449/211900
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Frustating use of the Laplace transform for the quantum states of a particle in a boxInfinite square-well potentialParticle in a boxLaplace transformIn a recent paper diffused in the literature, the quantum problem of a particle in a infinite square well potential was claimed to be solved via Laplace transform. Surprisingly, the correct solutions were found for an eigenvalue problem with variable defined on a finite range. As a matter of fact, the authors have misused the Laplace transform of the time-independent Schrödinger equation, and they have also used incorrectly the inversion process. In the present paper it is pointed out carefully and clearly those mistakes that might occur with the use of inappropriate methods for a given eigenvalue problem.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Universidade Estadual Paulista “Júlio de Mesquita Filho”, Departamento de Física e QuímicaUniversidade Estadual Paulista “Júlio de Mesquita Filho”, Departamento de Física e QuímicaCNPq: 09126/2019-3 (PQ)Sociedade Brasileira de FísicaUniversidade Estadual Paulista (Unesp)Castro, Antonio S. De [UNESP]2021-07-14T10:31:21Z2021-07-14T10:31:21Z2020-05-29info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article-application/pdfhttp://dx.doi.org/10.1590/1806-9126-RBEF-2020-0079Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 42, p. -, 2020.1806-11171806-9126http://hdl.handle.net/11449/21190010.1590/1806-9126-RBEF-2020-0079S1806-11172020000100436S1806-11172020000100436.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRevista Brasileira de Ensino de Físicainfo:eu-repo/semantics/openAccess2023-12-03T06:10:32Zoai:repositorio.unesp.br:11449/211900Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:21:05.333607Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Frustating use of the Laplace transform for the quantum states of a particle in a box
title Frustating use of the Laplace transform for the quantum states of a particle in a box
spellingShingle Frustating use of the Laplace transform for the quantum states of a particle in a box
Castro, Antonio S. De [UNESP]
Infinite square-well potential
Particle in a box
Laplace transform
title_short Frustating use of the Laplace transform for the quantum states of a particle in a box
title_full Frustating use of the Laplace transform for the quantum states of a particle in a box
title_fullStr Frustating use of the Laplace transform for the quantum states of a particle in a box
title_full_unstemmed Frustating use of the Laplace transform for the quantum states of a particle in a box
title_sort Frustating use of the Laplace transform for the quantum states of a particle in a box
author Castro, Antonio S. De [UNESP]
author_facet Castro, Antonio S. De [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Castro, Antonio S. De [UNESP]
dc.subject.por.fl_str_mv Infinite square-well potential
Particle in a box
Laplace transform
topic Infinite square-well potential
Particle in a box
Laplace transform
description In a recent paper diffused in the literature, the quantum problem of a particle in a infinite square well potential was claimed to be solved via Laplace transform. Surprisingly, the correct solutions were found for an eigenvalue problem with variable defined on a finite range. As a matter of fact, the authors have misused the Laplace transform of the time-independent Schrödinger equation, and they have also used incorrectly the inversion process. In the present paper it is pointed out carefully and clearly those mistakes that might occur with the use of inappropriate methods for a given eigenvalue problem.
publishDate 2020
dc.date.none.fl_str_mv 2020-05-29
2021-07-14T10:31:21Z
2021-07-14T10:31:21Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1590/1806-9126-RBEF-2020-0079
Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 42, p. -, 2020.
1806-1117
1806-9126
http://hdl.handle.net/11449/211900
10.1590/1806-9126-RBEF-2020-0079
S1806-11172020000100436
S1806-11172020000100436.pdf
url http://dx.doi.org/10.1590/1806-9126-RBEF-2020-0079
http://hdl.handle.net/11449/211900
identifier_str_mv Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 42, p. -, 2020.
1806-1117
1806-9126
10.1590/1806-9126-RBEF-2020-0079
S1806-11172020000100436
S1806-11172020000100436.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Revista Brasileira de Ensino de Física
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv -
application/pdf
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 SciELO
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129057024376832

Registros relacionados