  An effective approach is presented to produce Schrodinger-like equation for
the spinor components from Dirac equation. Considering electrostatic potential
as a constant value yields a second-order differential equation that is
comparable with the well-known solvable models in the non-relativistic quantum
mechanics for the certain bound state energy spectrum and the well-known
potentials. By this comparison, the gage field potential and the relativistic
energy can be written by the non-relativistic models and the spinors will be
related to the orthogonal polynomials. It has also shown that the upper spinors
wave functions based on the orthogonal polynomials can be given in terms of the
Rodrigues representations. Association with the Rodrigues representations of
orthogonal polynomials have also been investigated in the lower spinor
components, since they are related to the upper spinor components according to
first-order differential equation that is attained from Dirac equation.
