Fisher and Shannon information entropies for a noncentral inversely quadratic plus exponential Mie-type potential

Abstract

In this work, we determine the Fisher and Shannon entropies, the expectation values and the squeeze state for a noncentral inversely quadratic plus exponential Mie-type potential analytically. The proposed potential is solved under the Schrödinger equation using a special Greene Aldrich approximation to the centrifugal term to obtain a normalised wave function within the framework of the Nikiforov–Uvarov method. Numerical results are obtained for different screening parameters: α = 0.1, 0.12 and 0.13 for varying real constant parameter (B). The numerical solutions are obtained only for ground state. The numerical results of Fisher entropy both for position and momentum spaces are in good agreement with existing literature. The normalisation constant, wave function, and probability density plots are carried out using a well designed Mathematica algorithm. The Fourier transform of position space entropy gives the momentum space entropy.