D-dimensional energies for lithium dimer and silicon carbide radical

By using the supersymmetric shape invariance approach, we solve the Schrodinger equation with the modified Rosen-Morse potential energy model in D spatial dimensions. We find that the interdimensional degeneracy symmetry exists for the molecular system represented by the modified Rosen-Morse potential energy model. The rotation-vibrational energies for the 6(1)Pi(u) state of the Li-7(2) molecule and the X-3 Pi state of the SiC radical are observed to increase as D increases in the presence of a fixed vibrational quantum number and rotational quantum number. It is found that the behavior of the vibrational energies in higher dimensions remains similar to that of the three-dimensional system for these two molecular states. (C) 2014 Elsevier Inc. All rights reserved.