Bound-states solutions of the Radial Schrodinger equation for a Gaussian Potential within the framework of the Nikiforov-Uvarov Method (Published)
In this paper, we studied the approximate bound-state solutions of the radial Schrodinger equation with a quantum mechanical Gaussian potential, by using the generalized parametric Nikiforov-Uvarov method. The energy spectrum and the corresponding wave function were obtained analytically in closed form. The computed eigenvalues for the ground state and first excited state for sufficiently large potential depths are in good agreement with the results obtained with other methods.
Keywords: Gaussian potential, Nikiforov-Uvarov method., Schrodinger Equation