https://doi.org/10.1140/epjp/s13360-022-02833-1
Regular Article
Relativistic bound states of the pseudoharmonic potential in the presence of external magnetic and Aharonov–Bohm fields
1
Department of Physics, Federal University of Technology, P.M.B 1526, Owerri, Imo State, Nigeria
2
Department of Physics, Federal University of Petroleum Resources, 330102, Effurun, Delta State, Nigeria
Received:
19
February
2022
Accepted:
14
May
2022
Published online:
21
July
2022
The analytical solutions of the Dirac equation are presented in this paper in the presence of external fields using the formula method with the pseudoharmonic potential. The exact spin symmetry and pseudospin symmetry case are examined. Using a mapping to the non-relativistic limit for the exact spin symmetry limit, the non-relativistic energies are obtained both in the presence of the external field and in the absence of the field (in 3D). As an application, the non-relativistic energy eigenvalues of the N2, CH, CO and NO molecules under the influence of the external fields is presented. Furthermore, the ro-vibrational energies of the selected molecules are obtained in 3D. The results of the study are found to be consistent with the literature with the small variation arising from methodology and possibly due to difference in the conversion factors used for obtaining the energy of the molecules.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
