Fisher information and the complex nature of the Schr�dinger wave equation

Abstract

We show that the minimum Fisher information (MFI) approach to estimating the probability law p(x) on particle position x, over the class of all two-component laws p(x), yields the complex Schrodinger wave equation. Complexity, in particular, traces from an “efficiency scenario” (demanded by MFI) where the two components of p(x) are so separated that their informations add.