Exponential-type potentials derived from first principles

Detalhes bibliográficos
Ano de defesa: 2001
Autor(a) principal: Ramirez, Michael Torres
Orientador(a): Moreira, André Auto
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: eng
Instituição de defesa: Não Informado pela instituição
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Mecânica quântica não aditiva
Sistemas PDM
Potencial de Hulthen
Potential de Manning-Rosen
Link de acesso: http://www.repositorio.ufc.br/handle/riufc/58578
Resumo: In this work we study the non-additive quantum mechanics induced by a system with position dependent mass (PDM) from a geometric perspective, using the mathematical formalism of differential geometry. We establish the geometric model from the duality between a particle with PDM that moves in Euclidean space and a particle with constant mass that moves in a curved space. In this approach the deformed momentum characteristic of the non-additive quantum mechanics arises naturally when we determine the symmetries of the metric tensor that describes the curved space. Finally, as an application of this approach we shall study the deformed Coulomb potential and its relation with the Hulthen and Manning–Rosen potentials.
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spelling Ramirez, Michael TorresMoreira, André Auto2021-05-24T11:06:53Z2021-05-24T11:06:53Z2001RAMIREZ, M. T. Exponential-type potentials derived from first principles. 48 f. Dissertação (Mestrado em Física) - Universidade Federal do Ceará, Fortaleza, 2021.http://www.repositorio.ufc.br/handle/riufc/58578In this work we study the non-additive quantum mechanics induced by a system with position dependent mass (PDM) from a geometric perspective, using the mathematical formalism of differential geometry. We establish the geometric model from the duality between a particle with PDM that moves in Euclidean space and a particle with constant mass that moves in a curved space. In this approach the deformed momentum characteristic of the non-additive quantum mechanics arises naturally when we determine the symmetries of the metric tensor that describes the curved space. Finally, as an application of this approach we shall study the deformed Coulomb potential and its relation with the Hulthen and Manning–Rosen potentials.Neste trabalho estudamos a mecânica quântica não aditiva induzida por um sistema com massa dependente da posição (PDM) a partir de uma perspectiva geométrica, utilizando o formalismo matemático da geometria diferencial. Estabelecemos o modelo geométrico a partir da dualidade entre uma partícula com PDM que se move no espaço euclidiano e uma partícula com massa constante que se move em um espaço curvo. Nesta abordagem, o momento deformado característico da mecânica quântica não aditiva surge naturalmente quando determinamos as simetrias do tensor métrico que descreve o espaço curvo. Finalmente, como uma aplicação desta abordagem, estudaremos o potencial de Coulomb deformado e sua relação com os potenciais de Hulthen e Manning-Rosen.Mecânica quântica não aditivaSistemas PDMPotencial de HulthenPotential de Manning-RosenExponential-type potentials derived from first principlesExponential-type potentials derived from first principlesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisengreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFCinfo:eu-repo/semantics/openAccessORIGINAL2021_dis_mtramirez.pdf2021_dis_mtramirez.pdfapplication/pdf19960538http://repositorio.ufc.br/bitstream/riufc/58578/5/2021_dis_mtramirez.pdfd19b138411659fb9491d0ac43b6aa4fdMD55LICENSElicense.txtlicense.txttext/plain; charset=utf-82125http://repositorio.ufc.br/bitstream/riufc/58578/6/license.txtce2f77d9db6511060b9277b356f86c2dMD56riufc/585782021-05-24 08:06:53.122oai:repositorio.ufc.br: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Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2021-05-24T11:06:53Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false
dc.title.pt_BR.fl_str_mv Exponential-type potentials derived from first principles
dc.title.en.pt_BR.fl_str_mv Exponential-type potentials derived from first principles
title Exponential-type potentials derived from first principles
spellingShingle Exponential-type potentials derived from first principles
Ramirez, Michael Torres
Mecânica quântica não aditiva
Sistemas PDM
Potencial de Hulthen
Potential de Manning-Rosen
title_short Exponential-type potentials derived from first principles
title_full Exponential-type potentials derived from first principles
title_fullStr Exponential-type potentials derived from first principles
title_full_unstemmed Exponential-type potentials derived from first principles
title_sort Exponential-type potentials derived from first principles
author Ramirez, Michael Torres
author_facet Ramirez, Michael Torres
author_role author
dc.contributor.author.fl_str_mv Ramirez, Michael Torres
dc.contributor.advisor1.fl_str_mv Moreira, André Auto
contributor_str_mv Moreira, André Auto
dc.subject.por.fl_str_mv Mecânica quântica não aditiva
Sistemas PDM
Potencial de Hulthen
Potential de Manning-Rosen
topic Mecânica quântica não aditiva
Sistemas PDM
Potencial de Hulthen
Potential de Manning-Rosen
description In this work we study the non-additive quantum mechanics induced by a system with position dependent mass (PDM) from a geometric perspective, using the mathematical formalism of differential geometry. We establish the geometric model from the duality between a particle with PDM that moves in Euclidean space and a particle with constant mass that moves in a curved space. In this approach the deformed momentum characteristic of the non-additive quantum mechanics arises naturally when we determine the symmetries of the metric tensor that describes the curved space. Finally, as an application of this approach we shall study the deformed Coulomb potential and its relation with the Hulthen and Manning–Rosen potentials.
publishDate 2001
dc.date.issued.fl_str_mv 2001
dc.date.accessioned.fl_str_mv 2021-05-24T11:06:53Z
dc.date.available.fl_str_mv 2021-05-24T11:06:53Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv RAMIREZ, M. T. Exponential-type potentials derived from first principles. 48 f. Dissertação (Mestrado em Física) - Universidade Federal do Ceará, Fortaleza, 2021.
dc.identifier.uri.fl_str_mv http://www.repositorio.ufc.br/handle/riufc/58578
identifier_str_mv RAMIREZ, M. T. Exponential-type potentials derived from first principles. 48 f. Dissertação (Mestrado em Física) - Universidade Federal do Ceará, Fortaleza, 2021.
url http://www.repositorio.ufc.br/handle/riufc/58578
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da Universidade Federal do Ceará (UFC)
instname:Universidade Federal do Ceará (UFC)
instacron:UFC
instname_str Universidade Federal do Ceará (UFC)
instacron_str UFC
institution UFC
reponame_str Repositório Institucional da Universidade Federal do Ceará (UFC)
collection Repositório Institucional da Universidade Federal do Ceará (UFC)
bitstream.url.fl_str_mv http://repositorio.ufc.br/bitstream/riufc/58578/5/2021_dis_mtramirez.pdf
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