Parameter-free ansatz for inferring ground state wave functions of even convex potentials

Schrodinger's equation (SE) and the information-optimizing principle based on Fisher's information measure are intimately linked (Frieden et al 1999 Phys. Rev. E 60 48), which entails the existence of a Legendre transform structure underlying the SE (Flego et al 2011 J. Math. Phys. 52 0821...

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Detalles Bibliográficos
Autores principales:	Flego, Silvana Pilar, Plastino, Ángel Luis, Plastino, Ángel Ricardo
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2012
Materias:	Física Quantum statistical mechanics
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/131534
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-131534
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Quantum statistical mechanics
spellingShingle	Física Quantum statistical mechanics Flego, Silvana Pilar Plastino, Ángel Luis Plastino, Ángel Ricardo Parameter-free ansatz for inferring ground state wave functions of even convex potentials
topic_facet	Física Quantum statistical mechanics
description	Schrodinger's equation (SE) and the information-optimizing principle based on Fisher's information measure are intimately linked (Frieden et al 1999 Phys. Rev. E 60 48), which entails the existence of a Legendre transform structure underlying the SE (Flego et al 2011 J. Math. Phys. 52 082103). In this paper, we show that the existence of such a structure allows, via the virial theorem, for the formulation of a parameter-free ground state's SE ansatz for a rather large family of potentials. The parameter-free nature of the ansatz derives from the structural information it incorporates through its Legendre properties.
format	Articulo Articulo
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	Parameter-free ansatz for inferring ground state wave functions of even convex potentials
title_short	Parameter-free ansatz for inferring ground state wave functions of even convex potentials
title_full	Parameter-free ansatz for inferring ground state wave functions of even convex potentials
title_fullStr	Parameter-free ansatz for inferring ground state wave functions of even convex potentials
title_full_unstemmed	Parameter-free ansatz for inferring ground state wave functions of even convex potentials
title_sort	parameter-free ansatz for inferring ground state wave functions of even convex potentials
publishDate	2012
url	http://sedici.unlp.edu.ar/handle/10915/131534
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bdutipo_str	Repositorios
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Parameter-free ansatz for inferring ground state wave functions of even convex potentials

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