Solutions of the Dirac equation with the Morse potential energy model in higher spatial dimensions

摘要

Analytical solutions of the Dirac equation with the Morse potential energy model in higher spatial dimensions have been explored. We present the bound-state energy equation and the corresponding upper and lower radial wave functions. We find that the behavior of the higher-dimensional relativistic vibrational energies remains similar to that of the three-dimensional molecular system for the X-2 Sigma(+) state of the CP molecule. This symmetry phenomenon will break at the critical point through which the system undergoes a phase transition from a stable to an unstable state.