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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…
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…
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…
Comment on `Energy spectrum of a Dirac particle with position-dependent mass under the influence of the Aharonov-Casher effect'
V. B. Mendrot, A. S. de Castro
It is shown that the paper `Energy spectrum of a Dirac particle with position-dependent mass under the influence of the Aharonov-Casher effect', by Oliveira, Borges and Sousa [Braz…