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20112026
most citedPhysical regularization for the spin-1/2 Aharonov-Bohm problem in conical space

67 citations · 1k across the 55 of their papers we have counts for

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hep-th2023

Applications of the Klein-Gordon equation in the Feshbach-Villars representation in the non-inertial cosmic string space-time

Abdelmalek Bouzenada, Abdelmalek Boumali, Edilberto O. Silva

We study the relativistic quantum motion of a spineless particle using the Feshbach-Villars (FV) formalism in the spinning cosmic string spacetime. The movement equations are deriv…

hep-th2020★ 49 cited

On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics

Márcio M. Cunha, Henrique S. Dias, Edilberto O. Silva

In this article, we study topological and noninertial effects on the motion of the two-dimensional Dirac oscillator in the presence of a uniform magnetic field and the Aharonov-Boh…

hep-th2020

Relativistic quantum motion of an electron in spinning cosmic string spacetime in the presence of uniform magnetic field and Aharonov-Bohm potential

Márcio M. Cunha, Edilberto O. Silva

In this manuscript, we study the relativistic quantum mechanics of an electron in external fields in the spinning cosmic string spacetime. We obtain the Dirac equation, write the f…

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-th2018★ 7 cited

Ground state of a bosonic massive charged particle in the presence of external fields in a Gödel-type spacetime

Edilberto O. Silva

The relativistic quantum dynamics of a spinless charged particle interacting with both Aharonov-Bohm and Coulomb-type potentials in the Gödel-type spacetime is considered. The dyna…

hep-th2017

Solution of the -deformed Dirac equation with vector and scalar interactions in the context of spin and pseudospin symmetries

Claudio F. Farias, Edilberto O. Silva

The deformed Dirac equation invariant under the -Poincaré-Hopf quantum algebra in the context of minimal and scalar couplings under spin and pseudospin symmetries limits is cons…