Quantum information entropies of the eigenstates for the Pöschl-Teller-like potential

Shannon entropy for lower position and momentum eigenstates of Pöschl-Teller-like potential is evaluated. Based on the entropy densities demonstrated graphically, we note that the wave through of the position information entropy density ρ(x) moves right when the potential parameter V₁ increases and its amplitude decreases. However, its wave through moves left with the increase in the potential parameter |V₂|. Concerning the momentum information entropy density ρ(p), we observe that its amplitude increases with increasing potential parameter V₁, but its amplitude decreases with increasing |V₂|. The Bialynicki-Birula-Mycielski (BBM) inequality has also been tested for a number of states. Moreover, there exist eigenstates that exhibit squeezing in the momentum information entropy. Finally, we note that position information entropy increases with V₁, but decreases with |V₂|. However, the variation of momentum information entropy is contrary to that of the position information entropy.