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

Autores
Flego, Silvana Pilar; Plastino, Ángel Luis; Plastino, Ángel Ricardo
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Flego, Silvana Pilar. Universidad Nacional de La Plata; Argentina
Fil: Plastino, Ángel Luis. 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
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Pergamino); Argentina
Materia
ANSATZ
WAVE FUNCTIONS
SCHRODINGER´S
EQUATION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/272663
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Parameter-free ansatz for inferring ground state wave functions of even convex potentialsFlego, Silvana PilarPlastino, Ángel LuisPlastino, Ángel RicardoANSATZWAVE FUNCTIONSSCHRODINGER´SEQUATIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Schrodinger’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.Fil: Flego, Silvana Pilar. Universidad Nacional de La Plata; ArgentinaFil: Plastino, Ángel Luis. 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; ArgentinaFil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Pergamino); ArgentinaIOP Publishing2012-05info: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/11336/272663Flego, Silvana Pilar; Plastino, Ángel Luis; Plastino, Ángel Ricardo; Parameter-free ansatz for inferring ground state wave functions of even convex potentials; IOP Publishing; Physica Scripta; 85; 5; 5-2012; 2-70031-8949CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/0031-8949/85/05/055002info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0031-8949/85/05/055002info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:12:32Zoai:ri.conicet.gov.ar:11336/272663instacron: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:34982025-10-15 15:12:32.542CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Parameter-free ansatz for inferring ground state wave functions of even convex potentials
title Parameter-free ansatz for inferring ground state wave functions of even convex potentials
spellingShingle Parameter-free ansatz for inferring ground state wave functions of even convex potentials
Flego, Silvana Pilar
ANSATZ
WAVE FUNCTIONS
SCHRODINGER´S
EQUATION
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
dc.creator.none.fl_str_mv Flego, Silvana Pilar
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author Flego, Silvana Pilar
author_facet Flego, Silvana Pilar
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author_role author
author2 Plastino, Ángel Luis
Plastino, Ángel Ricardo
author2_role author
author
dc.subject.none.fl_str_mv ANSATZ
WAVE FUNCTIONS
SCHRODINGER´S
EQUATION
topic ANSATZ
WAVE FUNCTIONS
SCHRODINGER´S
EQUATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Flego, Silvana Pilar. Universidad Nacional de La Plata; Argentina
Fil: Plastino, Ángel Luis. 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
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Pergamino); Argentina
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.
publishDate 2012
dc.date.none.fl_str_mv 2012-05
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/11336/272663
Flego, Silvana Pilar; Plastino, Ángel Luis; Plastino, Ángel Ricardo; Parameter-free ansatz for inferring ground state wave functions of even convex potentials; IOP Publishing; Physica Scripta; 85; 5; 5-2012; 2-7
0031-8949
CONICET Digital
CONICET
url http://hdl.handle.net/11336/272663
identifier_str_mv Flego, Silvana Pilar; Plastino, Ángel Luis; Plastino, Ángel Ricardo; Parameter-free ansatz for inferring ground state wave functions of even convex potentials; IOP Publishing; Physica Scripta; 85; 5; 5-2012; 2-7
0031-8949
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/0031-8949/85/05/055002
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0031-8949/85/05/055002
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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 13.22299

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