Inferring an optimal Fisher measure

It is well known that a suggestive relation exists that links the Schrödinger equation (SE) to the information-optimizing principle based on the Fisher information measure (FIM). We explore here an approach that will allow one to infer the optimal FIM compatible with a given amount of prior informat...

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Autores principales: Flego, Silvana, Plastino, Ángel Luis, Plastino, Ángel Ricardo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2011
Materias:
Física
Fisher's information measure
Information theory
Legendre transform
Virial theorem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/96193
https://ri.conicet.gov.ar/11336/81163
https://arxiv.org/abs/1101.4659
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-96193
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Fisher's information measure
Information theory
Legendre transform
Virial theorem
spellingShingle Física
Fisher's information measure
Information theory
Legendre transform
Virial theorem
Flego, Silvana
Plastino, Ángel Luis
Plastino, Ángel Ricardo
Inferring an optimal Fisher measure
topic_facet Física
Fisher's information measure
Information theory
Legendre transform
Virial theorem
description It is well known that a suggestive relation exists that links the Schrödinger equation (SE) to the information-optimizing principle based on the Fisher 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.
format Articulo
Preprint
author Flego, Silvana
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author_facet Flego, Silvana
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author_sort Flego, Silvana
title Inferring an optimal Fisher measure
title_short Inferring an optimal Fisher measure
title_full Inferring an optimal Fisher measure
title_fullStr Inferring an optimal Fisher measure
title_full_unstemmed Inferring an optimal Fisher measure
title_sort inferring an optimal fisher measure
publishDate 2011
url http://sedici.unlp.edu.ar/handle/10915/96193
https://ri.conicet.gov.ar/11336/81163
https://arxiv.org/abs/1101.4659
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AT plastinoangelluis inferringanoptimalfishermeasure
AT plastinoangelricardo inferringanoptimalfishermeasure
bdutipo_str Repositorios
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