https://doi.org/10.1140/epjd/s10053-021-00156-x
Regular Article - Molecular Physics and Chemical Physics
The solution of D+1-dimensional Dirac equation for diatomic molecules with the Morse potential
1
Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran
2
Department of Sciences, Farhangian University, Tehran, Iran
Received:
7
January
2021
Accepted:
15
April
2021
Published online:
23
April
2021
In this paper, the solutions of the D+1-dimensional Dirac equation in the presence of the Morse potential are investigated by using the supersymmetric quantum mechanics and shape invariance theory with spin symmetry. The bound state energy spectrum and the ground state wave function are calculated by supersymmetry approach. Also, it is shown that the energy spectrum and vibrational energy eigenvalue at the critical point can be obtained by a numerical method which is called the asymptotic iteration method. The 
state of the CP and 
state of the 
molecules are considered, and their relativistic energy eigenvalues are studied.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021
