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Bound State Solutions of Schrödinger Equation for Generalized Morse Potential with Position-Dependent Mass

The effective mass one-dimensional Schrödinger equation for the generalized Morse potential is solved by using Nikiforov—Uvarov method. Energy eigenvalues and corresponding eigenfunctions are computed analytically. The results are also reduced to the constant mass case. Energy eigenvalues are computed numerically for some diatomic molecules. They are in agreement with the ones obtained before.