Information planes and complexity measures for atomic systems, ionization processes and isoelectronic series

Within the present advanced review on the meaning, interpretation and applications of the so-called ’complexity’, different order-uncertainty planes emboding relevant information-theoretic magnitudes are studied in order to analyse the information content of the position and momentum electron densities of several atomic systems, including neutral atoms, singly-charged ions and isoelectronic series. The quantities substaining those planes are the exponential and the power Shannon entropies, the disequilibrium, the Fisher information and the variance. Each plane gives rise to a measure of complexity, determined by the product of its components. In the present work, the values of the so-called López-Ruiz, Mancini and Calbet (LMC), Fisher-Shannon (FS) and Cramer-Rao (CR) complexities will be provided in both conjugated spaces and interpreted from a physical point of view.