Quantum information entropies for the $$\ell $$ ℓ -state Pöschl–Teller-type potential

Abstract

In this study, we obtained the position–momentum uncertainties and some uncertainty relations for the Pöschl–Teller-type potential for any . The radial expectation values of r −2 , r 2 and p 2 are obtained from which the Heisenberg Uncertainty principle holds for the potential model under consideration. The Fisher information is then obtained and it is observed that the Fisher-information-based uncertainty relation and the Cramer–Rao inequality hold for this even power potential. Some numerical and graphical results are displayed.