Abstract
We study solutions of the Dirac equation with the improved Tietz potential model in higher spatial dimensions. Under the condition of the spin symmetry, we obtain the bound state energy equation. It has been found that there exists a relativistic inter-dimensional degeneracy: under the transformation of a decrease in the spatial dimension by two and an increase in the orbital angular momentum by one, the relativistic rotation-vibrational energy for a diatomic molecule is invariant. We observe that the behavior of the relativistic vibrational energies for the Ag2 B-11Πu state in higher dimensions remains similar to that of the three-dimensional system.
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