and solve (44) for a regular F ( ϕ ) to obtain Then, (45) would read It is, therefore, obvious that all effective potentials V$_{eff}$ ( ϕ ) satisfying (48) would essentially change the azimuthal part of the general solution. Moreover, in the process of preserving the magnetic quantum number m as defined in the regular Hermitian settings, a set of isospectral ϕ -dependent potentials, V$_{eff}$ ( ϕ ), is obtained. That is, for each set of V$_{eff}$ ( r ) , V$_{eff}$ ( θ ) ∈ R , all ϕ -dependent potentials, V$_{eff}$ ( ϕ ), satisfying (46) are isospectral. In the build up of a generalized quantum recipe (Bender’s and Boettcher’s PTQM in this case), a question of delicate nature arises in the process as to ”would PTQM be able to recover some results (if not all, to be classified as a promising theory) of the conventional Hermitian quantum mechanics?”. To the best of our knowledge, only rarely and mainly within regular Hermitian (but PT -symmetric) settings examples were provided such as the one by Ben- der, Brody and Jones [35] mentioned in our introduction section above (i.e., H = p 2 + x 2 + 2 x ). The reality of the energy eigenvalues and other quantum mechanical properties (rather than the ”recoverability of Hermitian quantum mechanical” results) were the main constituents and focal points in the studies of the non-Hermitian PT -symmetric Hamiltonians. In our current proposal, 14 5 Concluding remarks F ( ϕ ) = C$_{◦}$e − $^{imϕ}$I$_{2}$$_{m}$ ( ωe iϕ/ 2 ) ; R ∋ m = 0 , ± 1 , ± 2 , · · · . (49) Φ$_{m}$ ( ϕ ) = C$_{m,ω}$I$_{2}$$_{m}$ ( ωe iϕ/ 2 ) (50)