Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well

摘要

Abstract This paper will define the exact solutions of the Schrödinger of a confined particle in an infinite spherical well in both position and momentum spaces. In the present work, we will outline, from an analytical manner in position space and numerically in momentum space for the information-theoretic spreading measures of the wave functions, such as expectation values, root mean square, entropic moment, Shannon entropy, Rényi entropy, and Fisher information. Then we will compare radial density functions in both spaces for these information measures, which are essential from the quantum mechanical point of view.