No abstract

The Schrödinger equation has been solved for the Hulthén plus screened Kratzer Potential (HSKP) via the Nikiforov-Uvarov-Functional Analysis (NUFA) method. The bound state energy and wave function for the HSKP have been obtained in closed form by applying the Greene-Aldrich approximation scheme to the inverse square term. Using the resulting energy equation, we computed the energy spectra for twelve diatomic molecules (CuLi, TiH, VH, TiC, HCl, LiH, H₂, ScH, CO, I₂, N₂, and NO) for various quantum states. In order to show the accuracy of our procedure, four special cases of the collective potential were obtained, and the results are in excellent agreement with the existing literature.

No abstract

Analytical solutions of the N-dimensional Schrödinger equation for the newly proposed Varshni-Hulthén potential are obtained within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically.

No abstract