Path integral discussion of the improved Tietz potential 1

@article{Khodja2018PathID,
  title={Path integral discussion of the improved Tietz potential 1},
  author={Abdellah Khodja and F. Benamira and L. Gu{\'e}chi},
  journal={Journal of Mathematical Physics},
  year={2018},
  volume={59},
  pages={042108}
}
An improved form of the Tietz potential for diatomic molecules is discussed in detail within the path integral formalism. The radial Green’s function is rigorously constructed in a closed form for different shapes of this potential. For q≤1 and 12αlnq 0, it is found that the quantization conditions are transcendental equations that require numerical solutions. In the limit q → 0, the energy spectrum and the corresponding wave functions for the radial Morse potential are recovered.An improved… 
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