An Approximate bound state solutions of the Dirac equation under the spin and pseudospin symmetries for the deformed Woods-Saxon potential with a Hellmann-like tensor interaction was examined. With the help of the Nikiforov-Uvarov functional analysis (NUFA) method and an approximation scheme, the analytical and numerical energies of the combined potential were obtained for both symmetries, for different quantum numbers. Degeneracies were observed in the energy values in the absence of the tensor interaction and these degeneracies were removed with the help of the Hellmann-like tensor interaction. The variations of the energies for spin and pseudospin symmetries were studied for various values of the quantum numbers and deformation parameters. Our study shows that the relativistic energies obtained are very sensitive to the quantum numbers and the deformation parameter. تفاصيل المقالة

We have solved the Schrödinger equation for Varshni plus Woods-Saxon potential in N-dimensions within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal barrier term. We obtained the numerical bound state energies for both physical parameters and some diatomic molecules for various values of screening parameter which characterizes the strength of the potential. We obtained the energy eigen equation in a closed and compact form and applied it to study partition function and other thermodynamic properties as applied to four selected diatomic molecules namely: Nitrogen (N2), Carbon (II) Oxide (CO), Nitrogen Oxide (NO) and Hydrogen (H2) molecules, respectively using experimentally determined spectroscopic parameter. The numerical energy eigenvalues obtained both for physical parameters and for selected diatomic molecules at various dimensions (N = 2, 4 and 6 ) reveals that constant degeneracies occurs for S and P quantum state. The result also shows that 1S-quantum state has the highest bound state energies which are experimentally verified because of its proximity to the nucleus of an atom. To ascertain the accuracy of our work, the thermodynamic spectral diagram produces an excellent curves as compared to work of an existence literature. This research has application in the field of molecular spectroscopy. تفاصيل المقالة

In this paper, we perform a nonrelativistic study of Frost-Musulin potential (FMP) impacted by the external magnetic and AB flux fields for the CO and NO diatomic molecules using the Nikiforov-Uvarov method with the Greene-Aldrich approximation to the centrifugal barrier. The numerical computation of the proposed potential reveals that the combined impact of the magnetic and AB flux fields completely removes the degeneracy of the energy spectra and controls the behavior of the magnetocaloric effect (MCE) by acting as a regulating factor to cool or heat the MCE. Also, the thermomagnetic plots obtained for the analyzed dimer molecules agreed perfectly with previous work. This research has the potential to be applied in molecular physics and MCE studies for a variety of molecules. تفاصيل المقالة

AbstractThe relativistic Dirac equation under spin symmetry is investigated for generalized Morse potential. We calculated the eigenvalues and the corresponding wave function by using the Nikiforov-Uvarov method. We also discussed two special cases: attractive radial and Deng-Fan potentials. We have also reported some numerical results and figures to show the effect of tensor interaction. تفاصيل المقالة