Generalized relativistic harmonic oscillator in minimal length quantum mechanics

Detalhes bibliográficos
Autor(a) principal: Castro, L. B.
Data de Publicação: 2017
Outros Autores: Obispo, A. E. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1751-8121/aa70f1
http://hdl.handle.net/11449/174794
Resumo: We solve the generalized relativistic harmonic oscillator in 1 + 1 dimensions in the presence of a minimal length. Using the momentum space representation, we explore all the possible signs of the potentials and discuss their bound-state solutions for fermions and antifermions. Furthermore, we also find an isolated solution from the Sturm-Liouville scheme. All cases already analyzed in the literature are obtained as particular cases.
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spelling Generalized relativistic harmonic oscillator in minimal length quantum mechanicsDirac equationgeneralized uncertainty principleRelativistic oscillatorWe solve the generalized relativistic harmonic oscillator in 1 + 1 dimensions in the presence of a minimal length. Using the momentum space representation, we explore all the possible signs of the potentials and discuss their bound-state solutions for fermions and antifermions. Furthermore, we also find an isolated solution from the Sturm-Liouville scheme. All cases already analyzed in the literature are obtained as particular cases.Departamento de Física Universidade Federal Do Maranhão (UFMA) Campus Universitário Do BacangaDepartamento de Física-IGCE Universidade Estadual Paulista (UNESP) Campus de Rio ClaroDepartamento de Física-IGCE Universidade Estadual Paulista (UNESP) Campus de Rio ClaroUniversidade Federal Do Maranhão (UFMA)Universidade Estadual Paulista (Unesp)Castro, L. B.Obispo, A. E. [UNESP]2018-12-11T17:12:54Z2018-12-11T17:12:54Z2017-06-19info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1088/1751-8121/aa70f1Journal of Physics A: Mathematical and Theoretical, v. 50, n. 28, 2017.1751-81211751-8113http://hdl.handle.net/11449/17479410.1088/1751-8121/aa70f12-s2.0-850212290422-s2.0-85021229042.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics A: Mathematical and Theoretical0,8430,843info:eu-repo/semantics/openAccess2024-01-18T06:25:08Zoai:repositorio.unesp.br:11449/174794Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-18T06:25:08Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Generalized relativistic harmonic oscillator in minimal length quantum mechanics
title Generalized relativistic harmonic oscillator in minimal length quantum mechanics
spellingShingle Generalized relativistic harmonic oscillator in minimal length quantum mechanics
Castro, L. B.
Dirac equation
generalized uncertainty principle
Relativistic oscillator
title_short Generalized relativistic harmonic oscillator in minimal length quantum mechanics
title_full Generalized relativistic harmonic oscillator in minimal length quantum mechanics
title_fullStr Generalized relativistic harmonic oscillator in minimal length quantum mechanics
title_full_unstemmed Generalized relativistic harmonic oscillator in minimal length quantum mechanics
title_sort Generalized relativistic harmonic oscillator in minimal length quantum mechanics
author Castro, L. B.
author_facet Castro, L. B.
Obispo, A. E. [UNESP]
author_role author
author2 Obispo, A. E. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Federal Do Maranhão (UFMA)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Castro, L. B.
Obispo, A. E. [UNESP]
dc.subject.por.fl_str_mv Dirac equation
generalized uncertainty principle
Relativistic oscillator
topic Dirac equation
generalized uncertainty principle
Relativistic oscillator
description We solve the generalized relativistic harmonic oscillator in 1 + 1 dimensions in the presence of a minimal length. Using the momentum space representation, we explore all the possible signs of the potentials and discuss their bound-state solutions for fermions and antifermions. Furthermore, we also find an isolated solution from the Sturm-Liouville scheme. All cases already analyzed in the literature are obtained as particular cases.
publishDate 2017
dc.date.none.fl_str_mv 2017-06-19
2018-12-11T17:12:54Z
2018-12-11T17:12:54Z
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/10.1088/1751-8121/aa70f1
Journal of Physics A: Mathematical and Theoretical, v. 50, n. 28, 2017.
1751-8121
1751-8113
http://hdl.handle.net/11449/174794
10.1088/1751-8121/aa70f1
2-s2.0-85021229042
2-s2.0-85021229042.pdf
url http://dx.doi.org/10.1088/1751-8121/aa70f1
http://hdl.handle.net/11449/174794
identifier_str_mv Journal of Physics A: Mathematical and Theoretical, v. 50, n. 28, 2017.
1751-8121
1751-8113
10.1088/1751-8121/aa70f1
2-s2.0-85021229042
2-s2.0-85021229042.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Physics A: Mathematical and Theoretical
0,843
0,843
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.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_ 1799965653216526336

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