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Please use this identifier to cite or link to this item: http://repositorio.ufla.br/jspui/handle/1/13427

Title: Quantum motion of a point particle in the presence of the Aharonov–Bohm potential in curved space
???metadata.dc.creator???: Silva, Edilberto O.
Ulhoa, Sérgio C.
Andrade, Fabiano M.
Filgueiras, Cleverson
Amorim, R. G. G.
Keywords: Self-adjoint extension
Aharonov–Bohm problem
Geometric potential
Bound state
Extensão auto-adjunta
Problema de Aharonov-Bohm
Potencial geométrico
Estado vinculado
Publisher: Elsevier
Issue Date: Nov-2015
Citation: 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.
Abstract: 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
???metadata.dc.language???: en_US
Appears in Collections:DFI - Artigos publicados em periódicos

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