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

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorRibeiro Junior, Marcos C. R.-
Autor(es): dc.creatorCunha, Márcio M.-
Autor(es): dc.creatorFilgueiras, Cleverson-
Autor(es): dc.creatorSilva, Edilberto O.-
Data de aceite: dc.date.accessioned2026-02-09T12:09:33Z-
Data de disponibilização: dc.date.available2026-02-09T12:09:33Z-
Data de envio: dc.date.issued2021-06-10-
Data de envio: dc.date.issued2021-06-10-
Data de envio: dc.date.issued2020-11-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/46511-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1155584-
Descrição: dc.descriptionThe 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.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherElsevier-
Direitos: dc.rightsacesso aberto-
Direitos: dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0/-
Direitos: dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0/-
???dc.source???: dc.sourcePhysics Open-
Palavras-chave: dc.subjectGeometric potential-
Palavras-chave: dc.subjectHelicoidal geometry-
Palavras-chave: dc.subjectHarmonic oscillator-
Palavras-chave: dc.subjectPartículas quânticas-
Palavras-chave: dc.subjectGeometria helicoidal-
Palavras-chave: dc.subjectOscilador harmônico-
Título: dc.titleQuantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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