  The importance of the energy spectrum of bound states and their restrictions
in quantum mechanics due to the different methods have been used for
calculating and determining the limit of them. Comparison of Schrodinger-like
equation obtained by Dirac equation with the non-relativistic solvable models
is the most efficient methods. By this technique, the exact relativistic
solutions of Dirac equation for Hartmann and Ring-Shaped oscillator potentials
are accessible, when the scalar potential equals to the vector potential. Using
solvable non-relativistic quantum mechanics systems as a basic model and
considering the physical conditions provide the changes in the restrictions of
relativistic parameters based on the non-relativistic definitions of
parameters.
