<scp>Crámer‐Rao</scp>complexity of the confined two‐dimensional hydrogen
Carlos R. Estañón, N. Aquino, David Puertas‐Centeno, J. S. Dehesa
Abstract
Abstract The internal disorder of the confined two‐dimensional hydrogenic atom is numerically studied in terms of the confinement radius for the 1 s , 2 s , 2 p , and 3 d quantum states by means of the statistical Crámer‐Rao complexity measure. First, the confinement dependence of the variance and the Fisher information of the position and momentum spreading of its electron distribution are computed and discussed. Then, the Crámer‐Rao complexity measure (which quantifies the combined balance of the charge concentration around the mean value and the gradient content of the electron distribution) is investigated in position and momentum spaces. We found that confinement does distinguish complexity of the system for all quantum states by means of these two component measures.