Factorization of the Dirac equation and a graphene quantum dot
We consider a quantum dot described using a cylindrically symmetrical 2D Dirac equation. The potentials representing the quantum dot are taken to be of different types of potential configuration, scalar, vector, and pseudo-scalar to enable us to enrich our study. Using various potential configurations, we found that in the presence of a mass term, an electrostatically confined quantum dot can accommodate true bound states, which is in agreement with our previous work. The differential cross section associated with one specific potential configuration has been computed and discussed as a function of the various potential parameters.