Regular Article – Molecular Physics and Chemical Physics
Analytical energy levels of the Schrödinger equation for the improved generalized Pöschl–Teller oscillator with magnetic vector potential coupling
Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria
2 Department of Physics Education, Federal College of Education (Technical) Gombe, P.M.B. 060, Gombe, Gombe State, Nigeria
3 Department of Pure and Applied Sciences, Taraba State Polytechnic, Suntai, P.M.B. 1030, Jalingo, Taraba State, Nigeria
4 Department of Physics, Faculty of Science, Taraba State University, P.M.B. 1176, Jalingo, Taraba State, Nigeria
5 Department of Physics, School of Sciences, Aminu Saleh College of Education, P.M.B. 044, Azare, Bauchi State, Nigeria
6 Department of Physics, Faculty of Science, University of Maiduguri, P.M.B. 1069, Maiduguri, Borno State, Nigeria
Accepted: 9 May 2023
Published online: 31 May 2023
In this study, a Pekeris-type approximation scheme was developed to solve the radial Schrödinger equation with and without external magnetic vector potential field. Using the proposed model, the radial Schrödinger equation was solved with the improved generalized Pöschl–Teller (IGPT) potential in the presence of external magnetic and Aharonov–Bohm (AB) flux fields. The parametric Nikiforov–Uvarov solution technique was used to derive equation for bound-state energies. The obtained equation was applied to diatomic molecules including Na2 (5 1Δg), K2 (a 3Σu+), 7Li2 (6 1Πu) and NaLi (A 1Σ+). The study shows that at moderate field strengths, the presence of the magnetic field gives rise to partially degenerate energy states in the system while the AB field leads nondegenerate energy spectrum. In the absence of the magnetic and AB fields, the mean absolute percentage deviation (MAPD) of computed energies from experimental data 0.7217%, 0.5286%, 0.5109% and 1.7537% for the molecules. The MAPD obtained with the equation for ro-vibrational energies of the IGPT potential are 0.7151%, 0.5278%, 0.4934% and 1.7464%. The results obtained for bound-state energies are in good agreement with existing literature on IGPT potential.
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