Legendre-transform structure derived from quantum theorems

By recourse to (i) the Hellmann–Feynman theorem and (ii) the virial one, the information-optimizing principle based on Fisher’s information measure uncovers a Legendre-transform structure associated with Schrodinger’s equation, in close analogy with the structure that lies behind the standard thermo...

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Detalles Bibliográficos
Autores principales: Flego, Silvana Pilar, Plastino, Ángel Luis, Plastino, Ángel Ricardo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2011
Materias:
Física
Virial theorem
Hellmann-Feynman theorem
Fisher Information
MaxEnt
Reciprocity relations
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/128412
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-128412
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Virial theorem
Hellmann-Feynman theorem
Fisher Information
MaxEnt
Reciprocity relations
spellingShingle Física
Virial theorem
Hellmann-Feynman theorem
Fisher Information
MaxEnt
Reciprocity relations
Flego, Silvana Pilar
Plastino, Ángel Luis
Plastino, Ángel Ricardo
Legendre-transform structure derived from quantum theorems
topic_facet Física
Virial theorem
Hellmann-Feynman theorem
Fisher Information
MaxEnt
Reciprocity relations
description By recourse to (i) the Hellmann–Feynman theorem and (ii) the virial one, the information-optimizing principle based on Fisher’s information measure uncovers a Legendre-transform structure associated with Schrodinger’s equation, in close analogy with the structure that lies behind the standard thermodynamical formalism. The present developments provide new evidence for the information theoretical links based on Fisher’s measure that exist between Schrodinger’s equation, on the one hand, and thermodynamics/thermostatistics on the other hand.
format Articulo
Preprint
author Flego, Silvana Pilar
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author_facet Flego, Silvana Pilar
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author_sort Flego, Silvana Pilar
title Legendre-transform structure derived from quantum theorems
title_short Legendre-transform structure derived from quantum theorems
title_full Legendre-transform structure derived from quantum theorems
title_fullStr Legendre-transform structure derived from quantum theorems
title_full_unstemmed Legendre-transform structure derived from quantum theorems
title_sort legendre-transform structure derived from quantum theorems
publishDate 2011
url http://sedici.unlp.edu.ar/handle/10915/128412
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AT plastinoangelluis legendretransformstructurederivedfromquantumtheorems
AT plastinoangelricardo legendretransformstructurederivedfromquantumtheorems
bdutipo_str Repositorios
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