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Keywords:

  • bound states;
  • quantum information entropy;
  • asymmetric trigonometric Rosen–Morse potential

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