Physical implications of Fisher-information's scaling symmetry

We study the scaling properties of Fisher's information measure (FIM) and show that from these one can straightforwardly deduce significant quantum-mechanical results. Specifically, we investigate the scaling properties of Fisher's measure I and encounter that, from the concomitant operati...

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Autores principales: Flego, Silvana, Plastino, Ángel Luis, Plastino, Ángel Ricardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Física
Fisher Information
Legendre structure
reciprocity relations
scaling transform
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84298
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-84298
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 Information
Legendre structure
reciprocity relations
scaling transform
spellingShingle Física
Fisher Information
Legendre structure
reciprocity relations
scaling transform
Flego, Silvana
Plastino, Ángel Luis
Plastino, Ángel Ricardo
Physical implications of Fisher-information's scaling symmetry
topic_facet Física
Fisher Information
Legendre structure
reciprocity relations
scaling transform
description We study the scaling properties of Fisher's information measure (FIM) and show that from these one can straightforwardly deduce significant quantum-mechanical results. Specifically, we investigate the scaling properties of Fisher's measure I and encounter that, from the concomitant operating rules, several interesting, albeit known, results can be derived. This entails that such results can be regarded as pre-configured by the conjunction of scaling and information theory. The central notion to be arrived at is that scaling entails that I must obey a certain partial differential equation (PDE). These PDE-solutions have properties that enable the application of a Legendre-transform (LT). The conjunction PDE+LT leads one to obtain several quantum results without recourse to the Schrödinger's equation.
format Articulo
Articulo
author Flego, Silvana
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author_facet Flego, Silvana
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author_sort Flego, Silvana
title Physical implications of Fisher-information's scaling symmetry
title_short Physical implications of Fisher-information's scaling symmetry
title_full Physical implications of Fisher-information's scaling symmetry
title_fullStr Physical implications of Fisher-information's scaling symmetry
title_full_unstemmed Physical implications of Fisher-information's scaling symmetry
title_sort physical implications of fisher-information's scaling symmetry
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/84298
work_keys_str_mv AT flegosilvana physicalimplicationsoffisherinformationsscalingsymmetry
AT plastinoangelluis physicalimplicationsoffisherinformationsscalingsymmetry
AT plastinoangelricardo physicalimplicationsoffisherinformationsscalingsymmetry
bdutipo_str Repositorios
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