title: The Fisher-Shannon information plane, an electron correlation tool.
abstract: A new correlation measure, the product of the Shannon entropy power and the Fisher information of the electron density, is introduced by analyzing the Fisher-Shannon information plane of some two-electron systems (He-like ions, Hooke's atoms). The uncertainty and scaling properties of this information product are pointed out. In addition, the Fisher and Shannon measures of a finite many-electron system are shown to be bounded by the corresponding single-electron measures and the number of electrons of the system.
authors.affiliation: Departamento de Física Moderna and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, E-18071 Granada, Spain. eromera@ugr.es
authors.forename: E
authors.initials: E
authors.lastname: Romera
authors.forename: J S
authors.initials: JS
authors.lastname: Dehesa