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20092026
most citedPhysical regularization for the spin-1/2 Aharonov-Bohm problem in conical space

67 citations · 882 across the 41 of their papers we have counts for

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14 papers · 1 filter

hep-th2025★ 1 cited

Fermions in -dimensions modified by nonminimal coupling and its applications to condensed matter physics

J. A. A. S. Reis, L. Lisboa-Santos, Fabiano M. Andrade +2

Fermions in two-dimensional space, commonly called -dimensional fermions, exhibit intriguing and distinctive characteristics that distinguish them from their higher-dimensio…

hep-th2018★ 45 cited

On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries

Daniel F. Lima, Fabiano M. Andrade, Luis B. Castro +2

The Dirac equation with both scalar and vector couplings describing the dynamics of a two-dimensional Dirac oscillator in the cosmic string spacetime is considered. We derive the D…

hep-th2017★ 47 cited

The DKP oscillator with a linear interaction in the cosmic string space-time

Mansoureh Hosseinpour, Hassan Hassanabadi, Fabiano M. Andrade

We study the relativistic quantum dynamics of a DKP oscillator field subject to a linear interaction in cosmic string space-time in order to better understand the effects of gravit…

hep-th2016★ 50 cited

Scattering and bound states of Dirac Equation in presence of cosmic string for Hulthén potential

Mansoureh Hosseinpour, Fabiano M. Andrade, Edilberto O. Silva +1

In this work we study the Dirac equation with vector and scalar potentials in the spacetime generated by a cosmic string. Using an approximation for the centrifugal term, a solutio…

hep-th2016★ 7 cited

Scattering and bound states of a spin--1/2 neutral particle in the cosmic string spacetime

Fabiano M. Andrade, Cleverson Filgueiras, Edilberto O. Silva

In this paper the relativistic quantum dynamics of a spin-1/2 neutral particle with a magnetic moment in the cosmic string spacetime is reexamined by applying the von Neumann t…

hep-th2016★ 13 cited

Effects of quantum deformation on the integer quantum Hall effect

Fabiano M. Andrade, Edilberto O. Silva, Denise Assafrão +1

In this work an application of the --deformed algebra in condensed matter physics is presented. Starting by the --deformed Dirac equation we study the relativistic generaliza…

hep-th2014

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…

hep-th2014★ 22 cited

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…

hep-th2014★ 23 cited

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…

hep-th2014★ 65 cited

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…

hep-th2013★ 48 cited

On the -Dirac Oscillator revisited

F. M. Andrade, E. O. Silva, M. M. Ferreira +1

This Letter is based on the -Dirac equation, derived from the -Poincaré-Hopf algebra. It is shown that the -Dirac equation preserves parity while breaks charge conjugation…

hep-th2013★ 41 cited

Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background

E. O. Silva, F. M. Andrade

The Aharonov-Casher problem in the presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field is examined. Using an approach based on the self-ad…

hep-th2013★ 18 cited

On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background

F. M. Andrade, E. O. Silva, T. Prudêncio +1

The effects of a Lorentz symmetry violating background vector on the Aharonov-Casher scattering in the nonrelativistic limit is considered. By using the self-adjoint extension meth…

hep-th2012★ 50 cited

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…