Information-entropic measures for non-zero l states of confined hydrogen-like ions

Rényi entropy ( R ), Tsallis entropy ( T ), Shannon entropy ( S ), and Onicescu energy ( E ) are studied in a spherically confined H atom (CHA), in conjugate space, with special emphasis on non-zero l states. Representative calculations are done by employing exact analytical wave functions in r space. Accurate p space-wave functions are generated numerically by performing Fourier transform on respective r -space counterparts. These are extended for H-isoelectronic series by applying the scaling relations. R , T are evaluated by choosing the order of entropic moments ( α , β ) as (3/5, 3) in r and p spaces. Detailed, systematic results of all these measures with respect to variations of confinement radii r c are offered for arbitrary n , l quantum numbers. For a given n , at small r c , R r α , T r α , S r collapse with rise of l , attain a minimum, then again grow up. Growth in r c shifts the point of inflection towards higher l values. An increase in Z enhances localization of a particular state. Several other new interesting inferences are uncovered. Comparison with literature results (available only for S in 2 p , 3 d states), offers excellent agreement. Graphical abstract