Quantum information entropies for an asymmetric trigonometric Rosen–Morse potential

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Abstract

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 math formula and math formula are calculated numerically. Also, it is found that math formula is obtained analytically and increases with the potential depth and width. Some interesting features of the information entropy densities math formula and math formula are demonstrated graphically. The Bialynicki-Birula–Mycielski inequality is also tested and found to hold good.

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