New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential

Detalhes bibliográficos
Autor(a) principal: Garcia, M. G.
Data de Publicação: 2017
Outros Autores: Castro, A. S. de, Castro, L. B., Alberto, P.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/84297
https://doi.org/10.1016/j.aop.2017.01.010
Resumo: New exact analytical bound-state solutions of the D-dimensional Klein-Gordon equation for a large set of couplings and potential functions are obtained via mapping onto the nonrelativistic bound-state solutions of the one-dimensional generalized Morse potential. The eigenfunctions are expressed in terms of generalized Laguerre polynomials, and the eigenenergies are expressed in terms of solutions of irrational equations at the worst. Several analytical results found in the literature, including the so-called Klein-Gordon oscillator, are obtained as particular cases of this unified approach
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spelling New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potentialHigh Energy Physics - TheoryHigh Energy Physics - TheoryQuantum PhysicsNew exact analytical bound-state solutions of the D-dimensional Klein-Gordon equation for a large set of couplings and potential functions are obtained via mapping onto the nonrelativistic bound-state solutions of the one-dimensional generalized Morse potential. The eigenfunctions are expressed in terms of generalized Laguerre polynomials, and the eigenenergies are expressed in terms of solutions of irrational equations at the worst. Several analytical results found in the literature, including the so-called Klein-Gordon oscillator, are obtained as particular cases of this unified approach2017-03-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/84297http://hdl.handle.net/10316/84297https://doi.org/10.1016/j.aop.2017.01.010enghttp://arxiv.org/abs/1703.00578v1Garcia, M. G.Castro, A. S. deCastro, L. B.Alberto, P.info: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:RCAAP2022-01-25T11:48:50Zoai:estudogeral.uc.pt:10316/84297Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:05:53.905588Repositório 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 New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
title New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
spellingShingle New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
Garcia, M. G.
High Energy Physics - Theory
High Energy Physics - Theory
Quantum Physics
title_short New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
title_full New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
title_fullStr New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
title_full_unstemmed New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
title_sort New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
author Garcia, M. G.
author_facet Garcia, M. G.
Castro, A. S. de
Castro, L. B.
Alberto, P.
author_role author
author2 Castro, A. S. de
Castro, L. B.
Alberto, P.
author2_role author
author
author
dc.contributor.author.fl_str_mv Garcia, M. G.
Castro, A. S. de
Castro, L. B.
Alberto, P.
dc.subject.por.fl_str_mv High Energy Physics - Theory
High Energy Physics - Theory
Quantum Physics
topic High Energy Physics - Theory
High Energy Physics - Theory
Quantum Physics
description New exact analytical bound-state solutions of the D-dimensional Klein-Gordon equation for a large set of couplings and potential functions are obtained via mapping onto the nonrelativistic bound-state solutions of the one-dimensional generalized Morse potential. The eigenfunctions are expressed in terms of generalized Laguerre polynomials, and the eigenenergies are expressed in terms of solutions of irrational equations at the worst. Several analytical results found in the literature, including the so-called Klein-Gordon oscillator, are obtained as particular cases of this unified approach
publishDate 2017
dc.date.none.fl_str_mv 2017-03-02
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/10316/84297
http://hdl.handle.net/10316/84297
https://doi.org/10.1016/j.aop.2017.01.010
url http://hdl.handle.net/10316/84297
https://doi.org/10.1016/j.aop.2017.01.010
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://arxiv.org/abs/1703.00578v1
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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