Information entropic measures for a trigonometric inversely quadratic plus Coulombic Hyperbolic Potential

Abstract

In this study, the analytical solution of the Schrödinger equation for the Trigonometric Inversely Quadratic plus Coulombic Hyperbolic Potential via the methodology of the supersymmetric approach was obtained. The energy equation and its corresponding wave functions were fully calculated. The theoretic quantities such as Shannon entropy and Fisher information were calculated using the normalized radial wave function. The results obtained for Shannon entropy satisfied Beckner, Bialynicki-Birula and Mycieslki (BBM) principle and Cramer Rao uncertainty inequality for Fisher information. These results are in excellent agreement with those in the literature. The result of our study goes against the observation pointed out by Okon et al. in their recent paper, who claimed that information entropic measures cannot be studied under Trigonometric Inversely Quadratic plus Coulombic Hyperbolic Potential.

Keywords

• eigensolutions
• wave equations
• bound states
• fisher information
• shannon entropy