1) Ro-Vibrational Energies and Wave Functions Of Improved Tietz Potential by Ojar J.U1., Najoji S.D.2 and Eyube E.S.3 JNAMP Vol 63, Jan-March 2022 Pg 1-12

by Ojar J.U1., Najoji S.D.2 and Eyube E.S.3

1. Department of Basic Science, Adamawa State College of Agriculture, P.M.B. 2088, Ganye, Adamawa State, Nigeria.
2Department of Basic Sciences, School of General and Remedial Studies. The Federal Polytechnic, P.M.B. 1006, Damaturu, Yobe State, Nigeria.
3Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria.

Abstract
We have employed the techniques of exact quantization rule to obtain closed form expression for the bound state ro-vibrational energy eigenvalues of the improved Tietz potential. By considering the Morse potential as a special case of the improved Tietz potential, we have deduced closed-form expression for the ro-vibrational energy of Morse potential from the results of improved Tietz potential. We have also solved the Riccati equation via ansatz solution and obtained closed form expressions for the unnormalized radial wave functions for the improved Tietz and Morse potentials. We have computed ro-vibrational energies for the improved Tietz and Morse potentials and obtained results for four diatomic molecules including HCl, LiH, H2 and CO, our computed results are in near perfect agreement with available data of the diatomic molecules in the literature.

Keywords: Improved Tietz potential, ro-vibrational energy, Riccati equation, Schrödinger equation, exact quantization rule