Relativistic spectral bounds for the general molecular potential: application to a diatomic molecule

More accurate ro-vibrational energies for SiF +(X 1Σ+) molecule

“…The choice of q parameter varies depending on the molecule examined. In the literature, under the GMP potential, both Schrödinger and Dirac equations have been solved and the non-relativistic and relativistic eigenvalue equations have been obtained respectively as below [3,7,11]:…”

“…It is known that in the non-relativistic framework, the solutions of the Schrödinger equation under an appropriate potential energy function are sufficient to obtain the ro-vibrational energy levels of diatomic molecules. However, in order to find out more correct ro-vibrational energies of a diatomic molecule, we must also take into account the small physical effects from the relativistic contributions [1][2][3]. In this context, the Klein-Gordon and Dirac equations are solved for different diatomic molecules in the presence of various potential energy functions [1,[3][4][5][6][7][8][9].…”

“…However, in order to find out more correct ro-vibrational energies of a diatomic molecule, we must also take into account the small physical effects from the relativistic contributions [1][2][3]. In this context, the Klein-Gordon and Dirac equations are solved for different diatomic molecules in the presence of various potential energy functions [1,[3][4][5][6][7][8][9]. In [1], Jia et al have solved the spin symmetric Dirac equation for the SiF + (X 1 Σ + ) molecule since the atoms of this molecule have a nuclear spin of 1/2.…”

The influence of magnetic and Aharanov–Bohm fields on energy spectra of diatomic molecules in the framework of the Dirac equation with the generalized interaction potential

“…Using the modified factorization method (MFM), Okorie et al [12] studied the DE with the shifted Tietz–Wei potential and generated the ro‐vibrational energy levels for several DMs (H 2 , N 2 , and O 2 ). The DE was solved using the AIM with the general molecular potential, and the relativistic energies of the state of the Na 2 molecule were estimated and compared to the Rydberg–Klein–Rees data in Kisoglu et al [13]. Okorie et al [14] used the MFM to study the DE for the hyperbolic Pöschl–Teller potential.…”

Relativistic Solutions of Dirac Equation with the Molecular Hua Potential in the Spin Symmetry Limit

“…It has been established that relativistic interactions are essential for an accurate determination of the rotation-vibration energy spectra of molecules by using quantum mechanical techniques [6]. Recently, by solving Dirac equation with General molecular potential, Improved Tietz potential and Improved Rosen-Morse potential, some authors investigated the relativistic rotation-vibrational energies for Cs 2 molecule, and observed that nonrelativistic energies decreases as a result of relativistic effects [7][8][9].…”