In our recent work, three-dimensional modified time-independent Schrodmger equation (MSE) of modified vibrational-rotational analysis of supersmgular plus quadratic potential (v.r.a.s.q.) potential was solved using Boopp's shift method instead to apply star product, in the framework of both noncommutativity three dimensional real space and phase (NC:3D-RSP). Furthermore, the exact correction for ground state and first excited state are found straightforwardly for interactions in one-electron atoms has been solved using standard perturbation theory. Furthermore, the obtained corrections of energies are depended on infinitesimal parameters (<$ETHETA,~chi>) and (<$Etheta Bar ,~sigma bar>) which are induced by position-position and momentum-raomentum noncommutativity, respectively, in addition to the discreet atomic quantum numbers: j = l +- 1/2, s = +- 1/2l and m. Moreover, the usual states in ordinary-quantum mechanics for vibrational-rotational analysis of supersmgular plus quadratic potential are canceled and has been replaced by new degenerated 2(2l + 1) sub-states in the extended new quantum symmetries of (NC:3D-RSP).

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