Quantal Information Entropies for Atoms

The polynomials occurring in the wave functionsof hydrogenic excited states are found to presentdifficulties for a straightforward analytical approachto the study of associated information entropies. A method is suggested to deal with them. It isthen applied to calculate the information entropy forthe Jacobi polynomial. A model calculation is presentedto examine the effect of screening on the entropy sum. It is seen that the sum does not depend onthe choice of screening.