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Using the method of the "exact discretization" of the Schr\"odinger equation,we propose a particular discretized version of the N=2 Supersymmetric QuantumMechanics. After defining the corresponding shape invariance condition, we showthat the energy spectra and wavefunctions for discretized Quantum Mechanicalsystems can be found using the technique of N=2 Supersymmetric QuantumMechanics exactly the same way as it is done for their continuous counterparts.As a demonstration of the present method, we find the energy spectrum for adiscretized Coulomb potential and its ground state wave function.

A Note on Shape Invariant Potentials for Discretized Hamiltonians