Quantum information entropies for an asymmetric trigonometric Rosen-Morse potential

Shannon entropy for the position and momentum eigenstates of an asymmetric trigonometric Rosen-Morse potential for the ground and first excited states is evaluated. The position and momentum information entropies Sx and Sp are calculated numerically. Also, it is found that Sx1 is obtained analytically and increases with the potential depth and width. Some interesting features of the information entropy densities ρs(x) and ρs(p) are demonstrated graphically. The Bialynicki-Birula-Mycielski inequality is also tested and found to hold good. Shannon entropy for the position and momentum eigenstates of an asymmetric trigonometric Rosen-Morse potential for the ground and first excited states is evaluated. The position and momentum information entropies S _x and S_p are calculated numerically. Also, we find that S_x¹ is obtained analytically and increases with the potential depth and width. Some interesting features of the information entropy densities ρ_s(x) and ρ_s(p) are demonstrated graphically. The Bialynicki-Birula-Mycielski inequality is also tested and found to hold good.