Stability analysis of the solution of the Dirac equation for the vibrational energies of the SiF+ molecule
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, 610500, Chengdu, PRC
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Accepted: 16 November 2015
Published online: 7 January 2016
Analytical solutions of the Dirac equation with the spin symmetry in higher spatial dimensions have been explored for the improved Manning-Rosen potential energy model. We present the bound-state energy equation and the corresponding upper and lower radial wave functions. It has been found that the behavior of the higher-dimensional relativistic vibrational energies remains similar to that of the three-dimensional molecular system for the state of the SiF+ molecule. This symmetry phenomenon will break upon the critical point through which the system undergoes a phase transition from a stable to an unstable state.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016