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Please use this identifier to cite or link to this item: http://repositorio.ufla.br/jspui/handle/1/13370

Title: The effect of singular potentials on the harmonic oscillator
???metadata.dc.creator???: Filgueiras, Cleverson
Silva, Edilberto Oliveira
Oliveira, Wilson
Moraes, Fernando Jorge Sampaio
Keywords: Self-adjoint extension
Harmonic oscillator
Landau levels
Calogero model
Noncommutative plane
Publisher: Elsevier
Issue Date: Nov-2010
Citation: FILGUEIRAS, 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.
Abstract: We 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.
URI: http://www.sciencedirect.com/science/article/pii/S000349161000103X
???metadata.dc.language???: en_US
Appears in Collections:DFI - Artigos publicados em periódicos

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