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dc.creatorFilgueiras, Cleverson-
dc.creatorSilva, Edilberto Oliveira-
dc.creatorOliveira, Wilson-
dc.creatorMoraes, Fernando Jorge Sampaio-
dc.date.accessioned2017-07-14T20:11:46Z-
dc.date.available2017-07-14T20:11:46Z-
dc.date.issued2010-11-
dc.identifier.citationFILGUEIRAS, C. et al. The effect of singular potentials on the harmonic oscillator. Annals of Physics, New York, v. 325, n. 11, p. 2529-2541, Nov. 2010.pt_BR
dc.identifier.urihttp://www.sciencedirect.com/science/article/pii/S000349161000103Xpt_BR
dc.identifier.urihttp://repositorio.ufla.br/jspui/handle/1/13370-
dc.description.abstractWe address the problem of a quantum particle moving under interactions presenting singularities. The self-adjoint extension approach is used to guarantee that the Hamiltonian is self-adjoint and to fix the choice of boundary conditions. We specifically look at the harmonic oscillator added of either a δ-function potential or a Coulomb potential (which is singular at the origin). The results are applied to Landau levels in the presence of a topological defect, the Calogero model and to the quantum motion on the noncommutative plane.pt_BR
dc.languageen_USpt_BR
dc.publisherElsevierpt_BR
dc.rightsrestrictAccesspt_BR
dc.sourceAnnals of Physicspt_BR
dc.subjectSelf-adjoint extensionpt_BR
dc.subjectHarmonic oscillatorpt_BR
dc.subjectLandau levelspt_BR
dc.subjectCalogero modelpt_BR
dc.subjectNoncommutative planept_BR
dc.titleThe effect of singular potentials on the harmonic oscillatorpt_BR
dc.typeArtigopt_BR
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