Entropy and complexity analysis of Dirac-delta-like quantum potentials

► Analysis of the spreading of the lowest bound state of Dirac-delta potentials. ► Analytical determination of the position and momentum Shannon, Rényi and Fisher lengths. ► Analytical calculation of Fisher-Shannon, Cramér-Rao and LMC complexity measures. ► Numerical study of information-theoretic measures (lengths and complexities) analyzed.