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Open Quantum Systems Decoherence Quantum Chemistry

Path integral discussion of the improved Tietz potential 1

arXiv

Authors: A. Khodja, F. Benamira, L. Guechi

Year

2019

Paper ID

14492

Status

Preprint

Abstract Read

~2 min

Abstract Words

118

Citations

N/A

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 leftvert qrightvert leq 1, and frac{1}{2α} ln leftvert qrightvert <r<+infty, the energy spectrum and the normalized wave functions of the bound states are derived for the l waves. When the deformation parameter q is 0<leftvert qrightvert <1 or q>0% , it is found that the quantization conditions are transcendental equations that requires numerical solutions. In the limit q→ 0, the energy spectrum and the corresponding wave functions for the radial Morse potential are recovered.

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An improved form of the Tietz potential for diatomic molecules is discussed in detail within the path integral formalism.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1911.12310 [2] arXiv https://arxiv.org/abs/1911.12310 [3] Publisher https://arxiv.org/abs/1911.12310

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