RO-VIBRATIONAL ENERGIES AND WAVE FUNCTIONS OF IMPROVED TIETZ POTENTIAL

Authors

  • J.U Ojar Department of Basic Science, Adamawa State College of Agriculture, P.M.B. 2088, Ganye, Adamawa State, Nigeria. Author
  • S.D. Najoji Department of Basic Sciences, School of General and Remedial Studies. The Federal Polytechnic, P.M.B. 1006, Damaturu, Yobe State, Nigeria. Author
  • E.S. Eyube Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria Author

Keywords:

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

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. 

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Published

2022-03-01

How to Cite

RO-VIBRATIONAL ENERGIES AND WAVE FUNCTIONS OF IMPROVED TIETZ POTENTIAL. (2022). The Journals of the Nigerian Association of Mathematical Physics, 63, 1-12. https://nampjournals.org.ng/index.php/home/article/view/107

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