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D-dimensional energies for lithium dimer and silicon carbide radical

2014; Elsevier BV; Volume: 311; Linguagem: Inglês

10.1016/j.jms.2014.09.006

1096-083X

Chun‐Sheng Jia, Liehui Zhang, Xuetao Hu, Hongming Tang, Guangchuan Liang,

Quantum chaos and dynamical systems

By using the supersymmetric shape invariance approach, we solve the Schrödinger equation with the modified Rosen–Morse potential energy model in D spatial dimensions. We find that the inter-dimensional degeneracy symmetry exists for the molecular system represented by the modified Rosen–Morse potential energy model. The rotation-vibrational energies for the 61Πu state of the 7Li2 molecule and the X3Π 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.