Inferring an optimal Fisher measure
Statistics Theory
2015-05-27 v2 Quantum Physics
Statistics Theory
Abstract
It is well known that a suggestive relation exists that links Schr\"odinger's equation (SE) to the information-optimizing principle based on Fisher's information measure (FIM). We explore here an approach that will allow one to infer the optimal FIM compatible with a given amount of prior information without explicitly solving first the associated SE. This technique is based on the virial theorem and it provides analytic solutions for the physically relevant FIM, that which is minimal subject to the constraints posed by the prior information.
Keywords
Cite
@article{arxiv.1101.4659,
title = {Inferring an optimal Fisher measure},
author = {S. P. Flego and A. Plastino and A. R. Plastino},
journal= {arXiv preprint arXiv:1101.4659},
year = {2015}
}