Open AccessApplication of Eckart-Hellmann potential to study selected diatomic molecules using Nikiforov-Uvarov-Functional analysis method
Author(s) -
E. P. Inyang,
E. S. William,
E. Omugbe,
E. P. Inyang,
Efiong A. Ibanga,
Funmilayo Ayedun,
I. O. Akpan,
Joseph E. Ntibi
Publication year - 2022
Publication title -
revista mexicana de física/revista mexicana de física
Language(s) - English
Resource type - Journals
eISSN - 2683-2224
pISSN - 0035-001X
DOI - 10.31349/revmexfis.68.020401
Subject(s) - diatomic molecule , wave function , eigenvalues and eigenvectors , physics , atomic physics , bound state , function (biology) , quantum number , energy (signal processing) , potential energy , schrödinger equation , spectral line , quantum , quantum mechanics , molecule , evolutionary biology , biology
The energy levels of the Schrödinger equation under the Eckart-Hellmann potential (EHP) energy function are studied by the Nikiforov-Uvarov-Functional Analysis (NUFA) method. We obtained the analytic solution of the energy spectra and the wave function in closed form with the help of Greene-Aldrich approximation. The numerical bound states energy for various screening parameters at different quantum states and vibrational energies of EHP for CuLi, TiH, VH, and TiC diatomic molecules were computed. Four exceptional cases of this potential were achieved. To test the accuracy of our results, we computed the bound states energy eigenvalues of Hellmann potential which are in excellent agreement with the report of other researchers.