Generalized relativistic harmonic oscillator in minimal length quantum mechanics
Autor(a) principal: | |
---|---|
Data de Publicação: | 2017 |
Outros Autores: | |
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. |
id |
UNSP_433692313b3d1882a3bd69552401043b |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/174794 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
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:29462024-08-05T23:19:54.304072Repositório 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_ |
1808129508230823936 |