Bulg. J. Phys. vol.49 no.4 (2022), pp. 329-339

Bound State Solutions of the Schrödinger Equation with Frost-Musulin Potential Using the Nikiforov-Uvarov-Functional Analysis (NUFA) Method

Etido P. Inyang1,2, Ephraim P. Inyang2, Eddy S. William2, Joseph E. Ntibi2, Efiong A. Ibanga1
1Department of Physics, National Open University of Nigeria, Jabi, Abuja, Nigeria
2Theoretical Physics Group, Department of Physics, University of Calabar, Calabar, P.M.B 1115, Nigeria
Abstract. The Schrödinger equation under the Frost-Musulin potential (FMP) energy function is solved using the Nikiforov-Uvarov-Functional Analysis (NUFA) method. We obtained the analytic solutions of the energy equation and the wave function in closed form with Greene-Aldrich approximation. The energy equation was used to obtain bound states energy eigenvalues of FMP for H2, I2 and N2 diatomic molecules for various quantum states. To test the accuracy of our results, we computed the bound states energy eigenvalues of FMP which are in excellent agreement with the reports of other researchers.

doi: https://doi.org/10.55318/bgjp.2022.49.4.329

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