3 papers
quant-ph2026
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…
quant-ph2026
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…
quant-ph2024
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…