Abstract

Starting with a wave function ψ 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 ψ into an exact solution of Schrödinger's equation for V( x). The concomitant procedure illustrates the connection between two apparently disparate physical principles (MEP and EPI).

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