Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential

Detalhes bibliográficos
Autor(a) principal: Garcia, M. G.
Data de Publicação: 2017
Outros Autores: de Castro, A. S. [UNESP], Alberto, P., Castro, L. B.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.physleta.2017.04.037
http://hdl.handle.net/11449/174491
Resumo: New exact analytical bound-state solutions of the radial Dirac equation in 3+1 dimensions for two sets of couplings and radial 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 equations that can be transformed into polynomial equations. Several analytical results found in the literature, including the Dirac oscillator, are obtained as particular cases of this unified approach.
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spelling Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potentialDirac equationMorse potentialNew exact analytical bound-state solutions of the radial Dirac equation in 3+1 dimensions for two sets of couplings and radial 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 equations that can be transformed into polynomial equations. Several analytical results found in the literature, including the Dirac oscillator, are obtained as particular cases of this unified approach.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNICAMP Universidade Estadual de Campinas Departamento de Matemática Aplicada IMECCITA Instituto Tecnológico de Aeronáutica DCTAUNESP Universidade Estadual Paulista Departamento de Física e Química, Campus de GuaratinguetáCFisUC University of Coimbra Physics DepartmentUFMA Universidade Federal do Maranhão Departamento de Física, Campus Universitário do BacangaUNESP Universidade Estadual Paulista Departamento de Física e Química, Campus de GuaratinguetáCNPq: 304105/2014-7CNPq: 304743/2015-1CNPq: 455719/2014-4Universidade Estadual de Campinas (UNICAMP)DCTAUniversidade Estadual Paulista (Unesp)Physics DepartmentUniversidade Federal do MaranhãoGarcia, M. G.de Castro, A. S. [UNESP]Alberto, P.Castro, L. B.2018-12-11T17:11:24Z2018-12-11T17:11:24Z2017-07-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2050-2054application/pdfhttp://dx.doi.org/10.1016/j.physleta.2017.04.037Physics Letters, Section A: General, Atomic and Solid State Physics, v. 381, n. 25-26, p. 2050-2054, 2017.0375-9601http://hdl.handle.net/11449/17449110.1016/j.physleta.2017.04.0372-s2.0-850182678692-s2.0-85018267869.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysics Letters, Section A: General, Atomic and Solid State Physics0,595info:eu-repo/semantics/openAccess2024-07-01T20:52:26Zoai:repositorio.unesp.br:11449/174491Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:39:35.392262Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential
title Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential
spellingShingle Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential
Garcia, M. G.
Dirac equation
Morse potential
title_short Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential
title_full Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential
title_fullStr Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential
title_full_unstemmed Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential
title_sort Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential
author Garcia, M. G.
author_facet Garcia, M. G.
de Castro, A. S. [UNESP]
Alberto, P.
Castro, L. B.
author_role author
author2 de Castro, A. S. [UNESP]
Alberto, P.
Castro, L. B.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual de Campinas (UNICAMP)
DCTA
Universidade Estadual Paulista (Unesp)
Physics Department
Universidade Federal do Maranhão
dc.contributor.author.fl_str_mv Garcia, M. G.
de Castro, A. S. [UNESP]
Alberto, P.
Castro, L. B.
dc.subject.por.fl_str_mv Dirac equation
Morse potential
topic Dirac equation
Morse potential
description New exact analytical bound-state solutions of the radial Dirac equation in 3+1 dimensions for two sets of couplings and radial 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 equations that can be transformed into polynomial equations. Several analytical results found in the literature, including the Dirac oscillator, are obtained as particular cases of this unified approach.
publishDate 2017
dc.date.none.fl_str_mv 2017-07-12
2018-12-11T17:11:24Z
2018-12-11T17:11:24Z
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/10.1016/j.physleta.2017.04.037
Physics Letters, Section A: General, Atomic and Solid State Physics, v. 381, n. 25-26, p. 2050-2054, 2017.
0375-9601
http://hdl.handle.net/11449/174491
10.1016/j.physleta.2017.04.037
2-s2.0-85018267869
2-s2.0-85018267869.pdf
url http://dx.doi.org/10.1016/j.physleta.2017.04.037
http://hdl.handle.net/11449/174491
identifier_str_mv Physics Letters, Section A: General, Atomic and Solid State Physics, v. 381, n. 25-26, p. 2050-2054, 2017.
0375-9601
10.1016/j.physleta.2017.04.037
2-s2.0-85018267869
2-s2.0-85018267869.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physics Letters, Section A: General, Atomic and Solid State Physics
0,595
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 2050-2054
application/pdf
dc.source.none.fl_str_mv Scopus
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_ 1808129102195982336

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