We show that effective masses in nonrelativistic quantum mechanics arise in a natural fashion from the Frieden and Soffer's Principle of Extremal Information (EPI) when the mean values of operators involving the momentum ...

We explore intriguing links connecting Hellmann–Feynman’s theorem to a thermodynamics information-optimizing principle based on Fisher’s information measure.

We show that using Frieden and Soffer’s extreme information principle [Phys. Rev. E 52, 2274 (1995)] with a Fisher measure constructed with escort probabilities [C. Beck and F. Schlögel, Thermodynamics of Chaotic Systems ...