https://doi.org/10.1140/epjd/s10053-024-00802-0
Regular Article - Molecular Physics and Chemical Physics
Nonrelativistic bound-state energy spectrum and persistent current in the modified Rosen–Morse oscillator confined to a 2D electromagnetic potential field
1
Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria
2
Department of Physics, Kogi State University, Anyigba, Nigeria
3
Department of Natural Sciences, School of Sciences, College of Education, P.M.B. 011, Billiri, Gombe State, Nigeria
4
Department of Physics, University of Agriculture and Environmental Sciences, P.M.B. 1038, Umuagwo, Imo State, Nigeria
5
Department of Science Laboratory Technology, Physics Unit, The Federal Polytechnic, P.M.B. 35, Mubi, Adamawa State, Nigeria
Received:
13
November
2023
Accepted:
8
January
2024
Published online:
22
January
2024
This research solves the Schrödinger equation with the modified Rosen–Morse oscillator (MRMO) in the presence of external magnetic and Aharonov–Bohm flux fields. The approximate equation for the bound-state energy spectrum is derived using the parametric Nikiforov-Uvarov solution recipe and a Pekeris-type approximation scheme. The expression for the bound-state energy spectrum is used to construct the formula for persistent current in the MRMO. The obtained equations are applied to diatomic systems including N2+ (X 1Σg+), Rb2 (X 1Σg+) and SO (X 2Σ−) molecules. By excluding the magnetic and AB fields, the number of excited bonded states obtained for the molecules are 59, 126, and 68, respectively. With the aid of the equation for the energy spectrum, approximate energy eigenvalues are computed for the molecules, and the results obtained agree with the data generated by numerical methods. The study also reveals that the current in the MRMO is linearly related to the magnetic quantum number. The results obtained in this study are in good agreement with the literature on diatomic molecules.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
