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metadata.artigo.dc.title: The effect of singular potentials on the harmonic oscillator
metadata.artigo.dc.creator: Filgueiras, Cleverson
Silva, Edilberto Oliveira
Oliveira, Wilson
Moraes, Fernando Jorge Sampaio
metadata.artigo.dc.subject: Self-adjoint extension
Harmonic oscillator
Landau levels
Calogero model
Noncommutative plane
metadata.artigo.dc.publisher: Elsevier Nov-2010
metadata.artigo.dc.identifier.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.
metadata.artigo.dc.description.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.
metadata.artigo.dc.language: en_US
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