234 citations · 918 across the 37 of their papers we have counts for
38 papers
A generalized Coulomb problem for a spin-1/2 fermion
V. B. Mendrot, A. S. de Castro, P. Alberto
We study the Dirac equation in 3+1 dimensions with a general combination of scalar, vector and tensor interactions with arbitrary strengths, all of them described by central Coulom…
Optical perspective on the time-dependent Dirac oscillator
Thiago T. Tsutsui, Alison A. Silva, Antonio S. M. de Castro +1
The Dirac oscillator is a relativistic quantum system, characterized by its linearity in both position and momentum. Moreover, considering and dimensions, the s…
Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field
Antonio S. de Castro
It is shown that a spin-1/2 fermion coupled to the axially symmetric electromagnetic vector potential has the same matrix structure as that one for the planar Dirac oscillator. In…
Analytically solvable -symmetry dynamics from su(1,1)-symmetry problems
R. Grimaudo, A. S. M. de Castro, H. Nakazato +1
A protocol for explicitly constructing the exact time-evolution operators generated by time-dependent -symmetry Hamiltonians is reported. Its mathematical applicab…
Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction
Luis B. Castro, Luiz P. de Oliveira, Marcelo G. Garcia +1
The relativistic quantum dynamics of scalar bosons in the background of a full vector coupling (minimal plus nonminimal vector couplings) is explored in the context of the Duffin-K…
From the generalized Morse potential to a unified treatment of the -dimensional singular harmonic oscillator and singular Coulomb potentials
Pedro H. F. Nogueira, Antonio S. de Castro
Bound-state solutions of the singular harmonic oscillator and singular Coulomb potentials in arbitrary dimensions are generated in a simple way from the solutions of the one-dimens…