with Bender, Brody and Jones in [35] and fits into PTQM-recipe). In the forthcoming proposal, using spherical coordinates, we depart from the traditional radial potential setting (i.e., V ( r ) = V ( r )) into a more general potential of the the form We shall use such potential setting in the context of Schr¨ odinger Hamiltonian and within an equally-mixed vector, V ( r ), and scalar, S ( r ), potentials’ setting in the Dirac Hamiltonian with the possibility of non-Hermitian interactions’ settings in the process. How- ever, it should be noted that such interactions in (3) with V ( r ) = − α/r , V ( θ ) = − b $^{2}$, and V ( ϕ ) = 0 represent just variants of the well known Hart- mann potential [38-47] used in the studies of ring-shaped organic molecules. For the sake of making our current proposal self-contained, we revisit, in section 2, Dirac equation in spherical coordinates and give preliminary foun- dation on its separability. We connect, in the same section, Dirac descendant Hamiltonians with those of Schr¨ odinger and provide a clear map for that. In section 3, we explore some consequences of a class of complexified but P ϕ T $_{ϕ}$- symmetrized azimuthal Hamiltonians. For a complexified azimuthal interac- tion V ( ϕ ) ∈ C (with V ( r ) , V ( θ ) ∈ R ) we use three illustrative examples for V ( θ ) = 0, V ( θ ) = 1 / 2, and V ( θ ) = 1 / ( 2 cos 2 θ ) . In section 4, a recipe of 4 V ( r ) = V ( r, θ, ϕ ) = V ( r ) + [ V ( θ ) + V ( ϕ ) r 2 sin 2 θ ] . (3) H = −∇ 2 + V ( r ) , (4) H = α · p + β [ M + S ( r )] + V ( r ) , (5)