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.
Facultad de Ingeniería
Instituto de Física La Plata
Centro Regional de Estudios Genómicos - Materia
-
Física
Quantum statistical mechanics - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/3.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/131534
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Parameter-free ansatz for inferring ground state wave functions of even convex potentialsFlego, Silvana PilarPlastino, Ángel LuisPlastino, Ángel RicardoFísicaQuantum statistical mechanicsSchrodinger'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.Facultad de IngenieríaInstituto de Física La PlataCentro Regional de Estudios Genómicos2012-04-18info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/131534enginfo:eu-repo/semantics/altIdentifier/issn/0031-8949info:eu-repo/semantics/altIdentifier/issn/1402-4896info:eu-repo/semantics/altIdentifier/doi/10.1088/0031-8949/85/05/055002info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/Creative Commons Attribution 3.0 Unported (CC BY 3.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:23:08Zoai:sedici.unlp.edu.ar:10915/131534Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:23:08.845SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| 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 Física Quantum statistical mechanics |
| 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 |
Física Quantum statistical mechanics |
| topic |
Física Quantum statistical mechanics |
| 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. Facultad de Ingeniería Instituto de Física La Plata Centro Regional de Estudios Genómicos |
| 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 |
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2012-04-18 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/131534 |
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eng |
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