The Frieden-Soffer principle and wave functions that maximize Shannon's measure

Starting with a wave function psi of a form that automatically extremizes Shannon's information measure according to Jaynes' maximum entropy principle (MEP), we show how, with the help of Frieden and Soffer's principle of extremal information (EPI), one can devise a potential V(x) that, if taken as a constraint in extremizing the Frieden-Soffer action, transforms psi, into an exact solution of Schrodinger's equation for V(x). The concomitant procedure illustrates the connection between two apparently disparate physical principles (MEP and EPI). (C) 1997 Elsevier Science B.V.