67 citations · 882 across the 41 of their papers we have counts for
5 papers · 1 filter
Lorentz-violating effects in the spin-1/2 Aharonov-Casher problem
Edilberto O. Silva, Fabiano M. Andrade
The effects of a Lorentz symmetry violating background vector on the Aharonov-Casher bound and scattering scenarios is considered. Using an approach based on the self-adjoint exten…
The 2D -Dirac oscillator
Fabiano M. Andrade, Edilberto O. Silva
In this Letter, 2D Dirac oscillator in the quantum deformed framework generated by the -Poincaré-Hopf algebra is considered. The problem is formulated using the -deformed Dir…
Remarks on the Dirac oscillator in dimensions
Fabiano M. Andrade, Edilberto O. Silva
In this work the Dirac oscillator in dimensions is considered. We solve the problem in polar coordinates and discuss the dependence of the energy spectrum on the spin param…
Exact Green's function for rectangular potentials and its application to quasi-bound states
Fabiano M. Andrade
In this work we calculate the exact Green's function for arbitrary rectangular potentials. Specifically we focus on Green's function for rectangular quantum wells enlarging the kno…
Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
Fabiano M. Andrade, Edilberto O. Silva
In this work the dynamics of a 2D Dirac oscillator in the spacetime of a magnetic cosmic string is considered. It is shown that earlier approaches to this problem have neglected a…