Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator

The geometric potential in quantum mechanics has been attracted attention recently, providing a formalism to investigate the influence of curvature in the context of low-dimensional systems. In this paper, we study the consequences of a helicoidal geometry in the Schrödinger equation dealing with an...

Descripción completa

Detalles Bibliográficos
Autores: Ribeiro Junior, Marcos C. R., Cunha, Márcio M., Filgueiras, Cleverson, Silva, Edilberto O.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Brasil
Institución:Universidade Federal de Lavras (UFLA)
Repositorio:Repositório Institucional da UFLA
Idioma:inglés
OAI Identifier:oai:repositorio.ufla.br:1/46511
Acceso en línea:https://repositorio.ufla.br/handle/1/46511
Access Level:acceso abierto
Palabra clave:Geometric potential
Helicoidal geometry
Harmonic oscillator
Partículas quânticas
Geometria helicoidal
Oscilador harmônico
id BR_edcba96af9f8b8e514b07ff5dd6c5373
oai_identifier_str oai:repositorio.ufla.br:1/46511
network_acronym_str BR
network_name_str Brasil
repository_id_str
spelling 2021-06-10T19:22:44Z2021-06-10T19:22:44Z2020-12RIBEIRO JUNIOR, M. C. R. et al. Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator. Physics Open, [S. I.], v. 5, Dec. 2020. DOI: https://doi.org/10.1016/j.physo.2020.100045.https://repositorio.ufla.br/handle/1/46511The geometric potential in quantum mechanics has been attracted attention recently, providing a formalism to investigate the influence of curvature in the context of low-dimensional systems. In this paper, we study the consequences of a helicoidal geometry in the Schrödinger equation dealing with an anisotropic mass tensor. In particular, we solve the problem of an harmonic oscillator in this scenario. For some specific conditions, we determine the wavefunction in terms of Confluent Heun Functions and compute the respective energy. The system exhibit several different behaviors, depending on the adjustment on the mass components.Elsevierhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessPhysics Openreponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAGeometric potentialHelicoidal geometryHarmonic oscillatorPartículas quânticasGeometria helicoidalOscilador harmônicoQuantum particle motion on the surface of a helicoid in the presence of an harmonic oscillatorinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengRibeiro Junior, Marcos C. R.Cunha, Márcio M.Filgueiras, CleversonSilva, Edilberto O.ORIGINALARTIGO_Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator.pdfARTIGO_Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator.pdfapplication/pdf745477https://repositorio.ufla.br/bitstreams/15316906-9863-4420-90da-10d92463faea/download852a28786c9ee2463050370575bf0f85MD51trueAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8804https://repositorio.ufla.br/bitstreams/351a3c01-4e11-45f5-ad18-d6d16e91b5d0/downloadc1efe8e24d7281448e873be30ea326ffMD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-8953https://repositorio.ufla.br/bitstreams/3c969fcb-8adb-4df7-af7a-908c72b023ed/download760884c1e72224de569e74f79eb87ce3MD53falseAnonymousREAD1/465112025-08-07 09:02:15.854http://creativecommons.org/licenses/by-nc-nd/4.0/acesso abertoopen.accessoai:repositorio.ufla.br:1/46511https://repositorio.ufla.brRepositório InstitucionalPUBhttps://repositorio.ufla.br/server/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2025-08-07T12:02:15Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)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
dc.title.pt_BR.fl_str_mv Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator
title Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator
spellingShingle Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator
Ribeiro Junior, Marcos C. R.
Geometric potential
Helicoidal geometry
Harmonic oscillator
Partículas quânticas
Geometria helicoidal
Oscilador harmônico
title_short Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator
title_full Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator
title_fullStr Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator
title_full_unstemmed Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator
title_sort Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator
dc.creator.none.fl_str_mv Ribeiro Junior, Marcos C. R.
Cunha, Márcio M.
Filgueiras, Cleverson
Silva, Edilberto O.
author Ribeiro Junior, Marcos C. R.
author_facet Ribeiro Junior, Marcos C. R.
Cunha, Márcio M.
Filgueiras, Cleverson
Silva, Edilberto O.
author_role author
author2 Cunha, Márcio M.
Filgueiras, Cleverson
Silva, Edilberto O.
author2_role author
author
author
dc.subject.por.fl_str_mv Geometric potential
Helicoidal geometry
Harmonic oscillator
Partículas quânticas
Geometria helicoidal
Oscilador harmônico
topic Geometric potential
Helicoidal geometry
Harmonic oscillator
Partículas quânticas
Geometria helicoidal
Oscilador harmônico
description The geometric potential in quantum mechanics has been attracted attention recently, providing a formalism to investigate the influence of curvature in the context of low-dimensional systems. In this paper, we study the consequences of a helicoidal geometry in the Schrödinger equation dealing with an anisotropic mass tensor. In particular, we solve the problem of an harmonic oscillator in this scenario. For some specific conditions, we determine the wavefunction in terms of Confluent Heun Functions and compute the respective energy. The system exhibit several different behaviors, depending on the adjustment on the mass components.
publishDate 2020
dc.date.issued.fl_str_mv 2020-12
dc.date.accessioned.fl_str_mv 2021-06-10T19:22:44Z
dc.date.available.fl_str_mv 2021-06-10T19:22:44Z
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.citation.fl_str_mv RIBEIRO JUNIOR, M. C. R. et al. Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator. Physics Open, [S. I.], v. 5, Dec. 2020. DOI: https://doi.org/10.1016/j.physo.2020.100045.
dc.identifier.uri.fl_str_mv https://repositorio.ufla.br/handle/1/46511
identifier_str_mv RIBEIRO JUNIOR, M. C. R. et al. Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator. Physics Open, [S. I.], v. 5, Dec. 2020. DOI: https://doi.org/10.1016/j.physo.2020.100045.
url https://repositorio.ufla.br/handle/1/46511
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.pt_BR.fl_str_mv Physics Open
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFLA
instname:Universidade Federal de Lavras (UFLA)
instacron:UFLA
instname_str Universidade Federal de Lavras (UFLA)
instacron_str UFLA
institution UFLA
reponame_str Repositório Institucional da UFLA
collection Repositório Institucional da UFLA
bitstream.url.fl_str_mv https://repositorio.ufla.br/bitstreams/15316906-9863-4420-90da-10d92463faea/download
https://repositorio.ufla.br/bitstreams/351a3c01-4e11-45f5-ad18-d6d16e91b5d0/download
https://repositorio.ufla.br/bitstreams/3c969fcb-8adb-4df7-af7a-908c72b023ed/download
bitstream.checksum.fl_str_mv 852a28786c9ee2463050370575bf0f85
c1efe8e24d7281448e873be30ea326ff
760884c1e72224de569e74f79eb87ce3
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)
repository.mail.fl_str_mv nivaldo@ufla.br || repositorio.biblioteca@ufla.br
_version_ 1853673594305904640
score 15,300719

Similares en LA Referencia