| Resumen |
The exact solutions to the Schrödinger equation with a hyperbolic potential are obtained. The position Sx and momentum Sp Shannon information entropies for the low-lying states n = 0, 1 are calculated. Some interesting features of the information entropy densities ρ ( ) x s and ρ ( ) p s as well as the probability densities ρ( ) x and ρ( ) p are demonstrated. We find that the choices of the values for those parameters have to satisfy the condition on nmax. We also notice that the ρ( ) p and ρ ( ) p s are symmetric to the momentum p and the ρ( ) x or ρ( ) p is equal or greater than 1 at some positions r or momentum p. In addition, the Bialynicki-Birula–Mycielski inequality is tested from different cases and found to hold for these cases. |
