Abstract
A rigorous evaluation of the path integral for Green’s function associated with a four-parameter potential for a diatomic molecule is presented. A closed form of Green’s function is obtained for different shapes of this potential. When the deformation parameter λ is λ<0 or 0<λ<1, it is found that the quantization conditions are transcendental equations that require a numerical solution. For λ⩾1 and r∊](1∕η)lnλ,∞[, the energy spectrum and the normalized wave functions of the bound states are derived. Particular cases of this potential which appear in the literature are also briefly discussed.
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