76 citations · 675 across the 54 of their papers we have counts for
54 papers
A generalized harmonic oscillator problem for a spin-1/2 fermion
V. B. Mendrot, A. S. de Castro, P. Alberto
The exact bound-state wavefunctions and the corresponding energy equation are calculated for a new generalized harmonic oscillator problem describing a spin-1/2 fermion in 3+1-dime…
Scattering, bound states, and resonances in the one-dimensional Dirac equation via supersymmetric quantum mechanics
Camila C. Soares, Luis B. Castro, Antonio S. de Castro
We develop a unified treatment of scattering and discrete spectra for the one-dimensional Dirac equation with scalar and vector interactions. Under the spin-symmetry condition, the…
Effects of the Lorentz symmetry violation on relativistic neutral scalar bosons: Scattering and bound states
Luis B. Castro, Antonio S. de Castro
In this letter, we investigate the effects of Lorentz symmetry violation on a relativistic neutral scalar boson within the framework of the Klein-Gordon formalism. We consider a te…
Symmetry generators and quantum numbers for fermionic circularly symmetric motion
V. B. Mendrot, A. S. de Castro, P. Alberto
The planar dynamics of spin-1/2 quantum relativistic particles is important for several physical systems. In this paper we derive, by a simple method, the generators for the contin…
On the electromagnetic interaction and the anomalous term in the Duffin-Kemmer-Petiau theory
Andrés G. Jirón, Luis B. Castro, Antonio S. de Castro +1
The problem of vectorial mesons embedded in an electromagnetic field via Duffin-Kemmer-Petiau (DKP) formalism is reinvestigated. Considering the electromagnetic interaction as a mi…
Remarks on the ()-dimensional Duffin-Kemmer-Petiau oscillator in an external magnetic field
Andrés G. Jirón, Luis B. Castro, Angel E. Obispo +1
This work re-examines the issue of spin- particles in a ()-dimensional Duffin-Kemmer-Petiau oscillator (DKPO) in the presence of an external magnetic field. By following th…