https://doi.org/10.1140/epjp/i2016-16117-4
Regular Article
Solutions of the Dirac equation with the Morse potential energy model in higher spatial dimensions
1
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
* e-mail: zp_swpi@sina.com
Received:
23
November
2015
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
