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We obtain exact solutions of the 2D Schr\"odinger equation with the SingularEven-Power and Inverse-Power Potentials in non-commutative complex space, usingthe Power-series expansion method. Hence we can say that the Schr\"odingerequation in non-commutative complex space describes to the particles with spin(1/2)in an external uniform magnitic field. Where the noncommutativity play therole of magnetic field with created the total magnetic moment of particle withspin 1/2, who in turn shifted the spectrum of energy. Such effects are similarto the Zeeman splitting in a commutative space.

2D Schr\"odinger Equation with Singular Even-Power and Inverse-Power Potentials in Non Commutative Complex space