Nonrelativistic Shannon information entropy for Killingbeck potential

The Shannon entropy of a nonrelativistic quantum system is investigated with the Killingbeck potential, which includes Coulomb, linear, and harmonic terms. The position and momentum information entropies for the low-lying states n = 0, 1 are calculated. Some interesting features of the information entropy densities as well as the probability densities are demonstrated. The Bialynicki-Birula-Mycielski inequality is checked regarding the results.