99 citations · 154 across the 23 of their papers we have counts for
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Analytical Solutions of One-Dimensional () Potentials for Spin-0 Particles via the Feshbach-Villars Formalism
Abdelmalek Boumali, Abdelmalek Bouzenada, Edilberto O. Silva
We present a unified analytical and numerical study of the one-dimensional Feshbach--Villars (FV) equation for spin-0 particles in the presence of several representative external p…
Numerical study of non-relativistic quantum systems and small oscillations induced in a helically twisted geometry
C. F. S. Pereira, R. L. L. Vitória, A. R. Soares +3
We investigate bound states of a non-relativistic scalar particle in a three-dimensional helically twisted (torsional) geometry, considering both the free case and the presence of…
Quantum scattering in helically twisted geometries: Coulomb-like interaction and Aharonov-Bohm effect
Augusto Tadeu P. de Araújo, Edilberto O. Silva
We investigate the scattering of a charged quantum particle in a helically twisted background that induces an effective Coulomb-like interaction, in the presence of an Aharonov-Boh…
Geometry-induced Coulomb-like potential in helically twisted quantum systems
Frankbelson dos S. Azevedo, Faizuddin Ahmed, Edilberto O. Silva
In this paper, we investigate the Schrödinger equation in a three-dimensional helically twisted space characterized by a non-trivial torsion parameter. By applying exact separation…
Cosmic string influence on a 2D hydrogen atom and its relationship with the Rytova-Keldysh logarithmic approximation in semiconductors
Frankbelson dos S. Azevedo, Izael A. Lima, Gallileu Genesis +2
A two-dimensional hydrogen atom offers a promising alternative for describing the quantum interaction between an electron and a proton in the presence of a straight cosmic string.…