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

Abstract

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 I2). It is found that this study is substantially marked, which communicated many important methods for solving the Schrödinger’s equation.