The Fisher–Shannon information plane, an electron correlation tool

E. Romera, J. S. Dehesa
2004 Journal of Chemical Physics  
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 atoms͒. 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
more » ... the number of electrons of the system.
doi:10.1063/1.1697374 pmid:15267826 fatcat:m5dpvxxsfvcjvdsutzr4ucrl2y