Fisher information in a two-electron entangled artificial atom

Fisher information for a two-electron ‘entangled artificial’ atom proposed by Moshinsky is studied. A relationship between the Fisher and the Shannon information is explored. It is shown that the Fisher information for this model is proportional to the Kullback–Leibner (or relative) information that measures the deviation of the density from a constant, the value of the density at r = 0. The Pauli kinetic energy is also determined.