Quantum motion of a point particle in the presence of the Aharonov–Bohm potential in curved space

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorSilva, Edilberto O.-
Autor(es): dc.creatorUlhoa, Sérgio C.-
Autor(es): dc.creatorAndrade, Fabiano M.-
Autor(es): dc.creatorFilgueiras, Cleverson-
Autor(es): dc.creatorAmorim, R. G. G.-
Data de aceite: dc.date.accessioned2026-02-09T12:37:03Z-
Data de disponibilização: dc.date.available2026-02-09T12:37:03Z-
Data de envio: dc.date.issued2017-07-25-
Data de envio: dc.date.issued2017-07-25-
Data de envio: dc.date.issued2015-11-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/13427-
Fonte completa do material: dc.identifierhttp://www.sciencedirect.com/science/article/pii/S0003491615003462-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1164900-
Descrição: dc.descriptionThe nonrelativistic quantum dynamics of a spinless charged particle in the presence of the Aharonov–Bohm potential in curved space is considered. We chose the surface as being a cone defined by a line element in polar coordinates. The geometry of this line element establishes that the motion of the particle can occur on the surface of a cone or an anti-cone. As a consequence of the nontrivial topology of the cone and also because of two-dimensional confinement, the geometric potential should be taken into account. At first, we establish the conditions for the particle describing a circular path in such a context. Because of the presence of the geometric potential, which contains a singular term, we use the self-adjoint extension method in order to describe the dynamics in all space including the singularity. Expressions are obtained for the bound state energies and wave functions.-
Idioma: dc.languageen-
Publicador: dc.publisherElsevier-
Direitos: dc.rightsrestrictAccess-
???dc.source???: dc.sourceAnnals of Physics-
Palavras-chave: dc.subjectSelf-adjoint extension-
Palavras-chave: dc.subjectAharonov–Bohm problem-
Palavras-chave: dc.subjectGeometric potential-
Palavras-chave: dc.subjectBound state-
Palavras-chave: dc.subjectExtensão auto-adjunta-
Palavras-chave: dc.subjectProblema de Aharonov-Bohm-
Palavras-chave: dc.subjectPotencial geométrico-
Palavras-chave: dc.subjectEstado vinculado-
Título: dc.titleQuantum motion of a point particle in the presence of the Aharonov–Bohm potential in curved space-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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