  In this work, we study the exact solution of Dirac equation in the
hyper-spherical coordinate under influence of separable q-Deformed quantum
potentials. The q-deformed hyperbolic Rosen-Morse potential is perturbed by
q-deformed non-central trigonometric Scarf potentials, where whole of them can
be solved by using Asymptotic Iteration Method (AIM). This work is limited to
spin symmetry case. The relativistic energy equation and orbital quantum number
equation lD-1 have been obtained using Asymptotic Iteration Method. The upper
radial wave function equations and angular wave function equations are also
obtained by using this method. The relativistic energy levels are numerically
calculated using Mat Lab, the increase of radial quantum number n causes the
increase of bound state relativistic energy level both in dimension D = 5 and D
= 3. The bound state relativistic energy level decreases with increasing of
both deformation parameter q and orbital quantum number nl.
