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The importance of the energy spectrum of bound states and their restrictionsin quantum mechanics due to the different methods have been used forcalculating and determining the limit of them. Comparison of Schrodinger-likeequation obtained by Dirac equation with the non-relativistic solvable modelsis the most efficient methods. By this technique, the exact relativisticsolutions of Dirac equation for Hartmann and Ring-Shaped oscillator potentialsare accessible, when the scalar potential equals to the vector potential. Usingsolvable non-relativistic quantum mechanics systems as a basic model andconsidering the physical conditions provide the changes in the restrictions ofrelativistic parameters based on the non-relativistic definitions ofparameters.

Dirac Equation in the Presence of Hartmann and Ring-Shaped Oscillator Potentials