@article{oai:oist.repo.nii.ac.jp:00002793, author = {Sonnenschein, Jonas and Tsulaia, Mirian}, issue = {23}, journal = {Modern Physics Letters A}, month = {Sep}, note = {Using the method of the “exact discretization” of the Schrödinger equation, we propose a particular discretized version of the N=2 Supersymmetric Quantum Mechanics (SQM). After defining the corresponding shape invariance condition, we show that the energy spectra and wave functions for discretized Quantum Mechanical systems can be found using the technique of N=2 Supersymmetric Quantum Mechanics 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 a discretized Coulomb potential and its ground state wave function.}, title = {A note on shape invariant potentials for discretized Hamiltonians}, volume = {37}, year = {2022} }