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Título: | Quantum motion of a point particle in the presence of the Aharonov–Bohm potential in curved space |
Palavras-chave: | Self-adjoint extension Aharonov–Bohm problem Geometric potential Bound state Extensão auto-adjunta Problema de Aharonov-Bohm Potencial geométrico Estado vinculado |
Data do documento: | Nov-2015 |
Editor: | Elsevier |
Citação: | SILVA, E. O. et al. Quantum motion of a point particle in the presence of the Aharonov–Bohm potential in curved space. Annals of Physics, New York, v. 362, p. 739-751, Nov. 2015. |
Resumo: | The 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. |
URI: | http://www.sciencedirect.com/science/article/pii/S0003491615003462 http://repositorio.ufla.br/jspui/handle/1/13427 |
Aparece nas coleções: | DFI - Artigos publicados em periódicos |
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