Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: The oddness of its even-parity solutions

Detalhes bibliográficos
Autor(a) principal: Viana-Gomes, J.
Data de Publicação: 2011
Outros Autores: Peres, N. M. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/61839
Resumo: We derive the energy levels associated with the even-parity wavefunctions of the harmonic oscillator with an additional delta-function potential at the origin. Our results bring to the attention of students a non-trivial and analytical example of a modification of the usual harmonic oscillator potential, with emphasis on the modification of the boundary conditions at the origin. This problem calls the attention of the students to an inaccurate statement in quantum mechanics textbooks often found in the context of the solution of the harmonic oscillator problem.
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spelling Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: The oddness of its even-parity solutionsCiências Naturais::Ciências FísicasSocial SciencesScience & TechnologyWe derive the energy levels associated with the even-parity wavefunctions of the harmonic oscillator with an additional delta-function potential at the origin. Our results bring to the attention of students a non-trivial and analytical example of a modification of the usual harmonic oscillator potential, with emphasis on the modification of the boundary conditions at the origin. This problem calls the attention of the students to an inaccurate statement in quantum mechanics textbooks often found in the context of the solution of the harmonic oscillator problem.IOP PublishingUniversidade do MinhoViana-Gomes, J.Peres, N. M. R.20112011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/61839engJ Viana-Gomes and N M R Peres 2011 Eur. J. Phys. 32 13770143-08071361-640410.1088/0143-0807/32/5/025info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:24:10Zoai:repositorium.sdum.uminho.pt:1822/61839Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:18:05.118986Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: The oddness of its even-parity solutions
title Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: The oddness of its even-parity solutions
spellingShingle Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: The oddness of its even-parity solutions
Viana-Gomes, J.
Ciências Naturais::Ciências Físicas
Social Sciences
Science & Technology
title_short Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: The oddness of its even-parity solutions
title_full Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: The oddness of its even-parity solutions
title_fullStr Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: The oddness of its even-parity solutions
title_full_unstemmed Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: The oddness of its even-parity solutions
title_sort Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: The oddness of its even-parity solutions
author Viana-Gomes, J.
author_facet Viana-Gomes, J.
Peres, N. M. R.
author_role author
author2 Peres, N. M. R.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Viana-Gomes, J.
Peres, N. M. R.
dc.subject.por.fl_str_mv Ciências Naturais::Ciências Físicas
Social Sciences
Science & Technology
topic Ciências Naturais::Ciências Físicas
Social Sciences
Science & Technology
description We derive the energy levels associated with the even-parity wavefunctions of the harmonic oscillator with an additional delta-function potential at the origin. Our results bring to the attention of students a non-trivial and analytical example of a modification of the usual harmonic oscillator potential, with emphasis on the modification of the boundary conditions at the origin. This problem calls the attention of the students to an inaccurate statement in quantum mechanics textbooks often found in the context of the solution of the harmonic oscillator problem.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-01-01T00:00:00Z
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://hdl.handle.net/1822/61839
url http://hdl.handle.net/1822/61839
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv J Viana-Gomes and N M R Peres 2011 Eur. J. Phys. 32 1377
0143-0807
1361-6404
10.1088/0143-0807/32/5/025
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 IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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