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|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.
Amorim, R. G. G.
|Keywords: ||Self-adjoint extension|
Problema de Aharonov-Bohm
|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.|
|Appears in Collections:||DFI - Artigos publicados em periódicos|
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