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arXiv · 1911.12310

Path integral discussion of the improved Tietz potential 1

A. Khodja·F. Benamira·L. Guechi
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Abstract

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 $\left\vert q\right\vert \leq 1,$ and $\frac{1}{2\alpha } \ln \left\vert q\right\vert 0$% , it is found that the quantization conditions are transcendental equations that requires numerical solutions. In the limit $q\rightarrow 0$, the energy spectrum and the corresponding wave functions for the radial Morse potential are recovered.

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A. Khodja, F. Benamira, L. Guechi. 2019-11-27. Path integral discussion of the improved Tietz potential 1. https://arxiv.org/abs/1911.12310

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