Solutions of the Dirac equation with the Morse potential energy model in higher spatial dimensions
School of Civil Engineering and Architecture, Southwest Petroleum University, 610500, Chengdu, People’s Republic of China
2 State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, 610500, Chengdu, People’s Republic of China
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Accepted: 19 February 2016
Published online: 25 April 2016
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 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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016