In present work, the exact analytical bound-state solutions of modified Schrödinger equation (MSE) with modified extended Cornel potential (MECP) have been presented using both Bopp's shift method and standard perturbation theory in the noncommutative two dimensional real space and phase (NC-2D: RSP), we have also constructed the corresponding noncommutative Hamiltonian operator which containing two new terms, the first one is modified Zeeman effect and the second is spin-orbital interaction.

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... e theoretical results show that the automatically appearance for both spin-orbital interaction and modified Zeeman effect leads to the degenerate to energy levels to   2 2 1 l  sub states.