# The Fisher-Shannon information plane, an electron correlation tool.

@article{Romera2004TheFI, title={The Fisher-Shannon information plane, an electron correlation tool.}, author={Elvira Romera and Jes{\'u}s S. Dehesa}, journal={The Journal of chemical physics}, year={2004}, volume={120 19}, pages={ 8906-12 } }

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…

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