67 citations · 882 across the 41 of their papers we have counts for
5 papers · 1 filter
Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem
F. M. Andrade, E. O. Silva
In this letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the -Poincaré-Hopf algebra. We consider the nonrelativis…
Superdiffusivity of quantum walks: A Feynman sum-over-paths description
F. M. Andrade, M. G. E. da Luz
Quantum walks constitute important tools in different applications, especially in quantum algorithms. To a great extent their usefulness is due to unusual diffusive features, allow…
On the spin-1/2 Aharonov-Bohm problem in conical space: bound states, scattering and helicity nonconservation
F. M. Andrade, E. O. Silva, M. Pereira
In this work the bound state and scattering problems for a spin-1/2 particle undergone to an Aharonov-Bohm potential in a conical space in the nonrelativistic limit are considered.…
Nonrelativistic quantum dynamics on a cone with and without a constraining potential
C. Filgueiras, E. O. Silva, F. M. Andrade
In this paper we investigate the bound state problem of nonrelativistic quantum particles on a conical surface. This kind of surface appears as a topological defect in ordinary sem…
On Aharonov-Casher bound states
E. O. Silva, F. M. Andrade, H. Belich +1
In this work bound states for the Aharonov-Casher problem are considered. According to Hagen's work on the exact equivalence between spin-1/2 Aharonov-Bohm and Aharonov-Casher effe…