Physical implications of Fisher-information's scaling symmetry

Autores
Flego, Silvana Pilar; Plastino, Angelo; Plastino, Ángel Ricardo
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Flego, Silvana Pilar. Universidad Nacional de La Plata. Facultad de Ingeniería; Argentina
Fil: Plastino, Angelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Universidad de Granada; España
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Universidad de las Islas Baleares; España
Materia
FISHER INFORMATION
LEGENDRE STRUCTURE
RECIPROCITY RELATIONS
SCALING TRANSFORM
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/80402
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Physical implications of Fisher-information's scaling symmetryFlego, Silvana PilarPlastino, AngeloPlastino, Ángel RicardoFISHER INFORMATIONLEGENDRE STRUCTURERECIPROCITY RELATIONSSCALING TRANSFORMhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We 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.Fil: Flego, Silvana Pilar. Universidad Nacional de La Plata. Facultad de Ingeniería; ArgentinaFil: Plastino, Angelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Universidad de Granada; EspañaFil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Universidad de las Islas Baleares; EspañaVersita2012-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/80402Flego, Silvana Pilar; Plastino, Angelo; Plastino, Ángel Ricardo; Physical implications of Fisher-information's scaling symmetry; Versita; Central European Journal of Physics; 10; 2; 4-2012; 390-3971895-1082CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.2478/s11534-012-0007-1info:eu-repo/semantics/altIdentifier/doi/10.2478/s11534-012-0007-1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:07:15Zoai:ri.conicet.gov.ar:11336/80402instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:07:15.321CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Physical implications of Fisher-information's scaling symmetry
title Physical implications of Fisher-information's scaling symmetry
spellingShingle Physical implications of Fisher-information's scaling symmetry
Flego, Silvana Pilar
FISHER INFORMATION
LEGENDRE STRUCTURE
RECIPROCITY RELATIONS
SCALING TRANSFORM
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
dc.creator.none.fl_str_mv Flego, Silvana Pilar
Plastino, Angelo
Plastino, Ángel Ricardo
author Flego, Silvana Pilar
author_facet Flego, Silvana Pilar
Plastino, Angelo
Plastino, Ángel Ricardo
author_role author
author2 Plastino, Angelo
Plastino, Ángel Ricardo
author2_role author
author
dc.subject.none.fl_str_mv FISHER INFORMATION
LEGENDRE STRUCTURE
RECIPROCITY RELATIONS
SCALING TRANSFORM
topic FISHER INFORMATION
LEGENDRE STRUCTURE
RECIPROCITY RELATIONS
SCALING TRANSFORM
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Flego, Silvana Pilar. Universidad Nacional de La Plata. Facultad de Ingeniería; Argentina
Fil: Plastino, Angelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Universidad de Granada; España
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Universidad de las Islas Baleares; España
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.
publishDate 2012
dc.date.none.fl_str_mv 2012-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/80402
Flego, Silvana Pilar; Plastino, Angelo; Plastino, Ángel Ricardo; Physical implications of Fisher-information's scaling symmetry; Versita; Central European Journal of Physics; 10; 2; 4-2012; 390-397
1895-1082
CONICET Digital
CONICET
url http://hdl.handle.net/11336/80402
identifier_str_mv Flego, Silvana Pilar; Plastino, Angelo; Plastino, Ángel Ricardo; Physical implications of Fisher-information's scaling symmetry; Versita; Central European Journal of Physics; 10; 2; 4-2012; 390-397
1895-1082
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.2478/s11534-012-0007-1
info:eu-repo/semantics/altIdentifier/doi/10.2478/s11534-012-0007-1
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Versita
publisher.none.fl_str_mv Versita
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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