Non-relativistic treatment of q-deformed modified Pöschel Teller potential via path integral approach.

This study aims to evaluate the D-dimension Feynman propagator to find the spectrum of non-relativistic energies and the corresponding wavefunctions of the ′ ′ ℓ ′ ′ states for the q-deformed modified Pöschl-Teller potential. We propose an approximation scheme for the centrifugal term of our potential. In addition, an appropriate space-time of Duru-Kleinert transformation has also been performed to convert the radial path integral into a manageable one. Furthermore, two special cases are to be considered, the Pöschl-Teller type potential and the generalized hyperbolic potential, as well as by a combination of illustration and comparison of some diatomic molecules, namely (HCL, NiC, CO, and I 2 ). It is found that this study is substantially marked, which communicated many important methods for solving the Schrödinger's equation. [ABSTRACT FROM AUTHOR]