Fisher information and quantum systems with position-dependent effective mass

Autores
Puente, A.; Plastino, Ángel Ricardo; Casas, M.; Garcias, F.; Plastino, Ángel Luis
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show that effective masses in nonrelativistic quantum mechanics arise in a natural fashion from the Frieden and Soffer's Principle of Extremal Information (EPI) when the mean values of operators involving the momentum p and exhibiting the form p f(x) p are included as constraints. A position-dependent effective mass, which is currently used in the literature as a simple model for diverse phenomena in quantum physics, appears after extremalizing Fisher's information measure with the above constraints.
Fil: Puente, A.. Universidad de las Islas Baleares; España
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de las Islas Baleares; España. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Casas, M.. Universidad de las Islas Baleares; España
Fil: Garcias, F.. Universidad de las Islas Baleares; España
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de las Islas Baleares; España. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Materia
Fisher Information
Position-Dependent Mass
Quantum Systems
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:11336/53398
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Fisher information and quantum systems with position-dependent effective massPuente, A.Plastino, Ángel RicardoCasas, M.Garcias, F.Plastino, Ángel LuisFisher InformationPosition-Dependent MassQuantum Systemshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We show that effective masses in nonrelativistic quantum mechanics arise in a natural fashion from the Frieden and Soffer's Principle of Extremal Information (EPI) when the mean values of operators involving the momentum p and exhibiting the form p f(x) p are included as constraints. A position-dependent effective mass, which is currently used in the literature as a simple model for diverse phenomena in quantum physics, appears after extremalizing Fisher's information measure with the above constraints.Fil: Puente, A.. Universidad de las Islas Baleares; EspañaFil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de las Islas Baleares; España. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Casas, M.. Universidad de las Islas Baleares; EspañaFil: Garcias, F.. Universidad de las Islas Baleares; EspañaFil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de las Islas Baleares; España. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaElsevier Science2000-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/53398Puente, A.; Plastino, Ángel Ricardo; Casas, M.; Garcias, F.; Plastino, Ángel Luis; Fisher information and quantum systems with position-dependent effective mass; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 277; 1; 3-2000; 146-1560378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/S0378-4371(99)00478-1info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437199004781info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T09:36:40Zoai:ri.conicet.gov.ar:11336/53398instacron: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:34982025-11-05 09:36:40.923CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Fisher information and quantum systems with position-dependent effective mass
title Fisher information and quantum systems with position-dependent effective mass
spellingShingle Fisher information and quantum systems with position-dependent effective mass
Puente, A.
Fisher Information
Position-Dependent Mass
Quantum Systems
title_short Fisher information and quantum systems with position-dependent effective mass
title_full Fisher information and quantum systems with position-dependent effective mass
title_fullStr Fisher information and quantum systems with position-dependent effective mass
title_full_unstemmed Fisher information and quantum systems with position-dependent effective mass
title_sort Fisher information and quantum systems with position-dependent effective mass
dc.creator.none.fl_str_mv Puente, A.
Plastino, Ángel Ricardo
Casas, M.
Garcias, F.
Plastino, Ángel Luis
author Puente, A.
author_facet Puente, A.
Plastino, Ángel Ricardo
Casas, M.
Garcias, F.
Plastino, Ángel Luis
author_role author
author2 Plastino, Ángel Ricardo
Casas, M.
Garcias, F.
Plastino, Ángel Luis
author2_role author
author
author
author
dc.subject.none.fl_str_mv Fisher Information
Position-Dependent Mass
Quantum Systems
topic Fisher Information
Position-Dependent Mass
Quantum Systems
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 show that effective masses in nonrelativistic quantum mechanics arise in a natural fashion from the Frieden and Soffer's Principle of Extremal Information (EPI) when the mean values of operators involving the momentum p and exhibiting the form p f(x) p are included as constraints. A position-dependent effective mass, which is currently used in the literature as a simple model for diverse phenomena in quantum physics, appears after extremalizing Fisher's information measure with the above constraints.
Fil: Puente, A.. Universidad de las Islas Baleares; España
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de las Islas Baleares; España. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Casas, M.. Universidad de las Islas Baleares; España
Fil: Garcias, F.. Universidad de las Islas Baleares; España
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de las Islas Baleares; España. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
description We show that effective masses in nonrelativistic quantum mechanics arise in a natural fashion from the Frieden and Soffer's Principle of Extremal Information (EPI) when the mean values of operators involving the momentum p and exhibiting the form p f(x) p are included as constraints. A position-dependent effective mass, which is currently used in the literature as a simple model for diverse phenomena in quantum physics, appears after extremalizing Fisher's information measure with the above constraints.
publishDate 2000
dc.date.none.fl_str_mv 2000-03
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/11336/53398
Puente, A.; Plastino, Ángel Ricardo; Casas, M.; Garcias, F.; Plastino, Ángel Luis; Fisher information and quantum systems with position-dependent effective mass; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 277; 1; 3-2000; 146-156
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/53398
identifier_str_mv Puente, A.; Plastino, Ángel Ricardo; Casas, M.; Garcias, F.; Plastino, Ángel Luis; Fisher information and quantum systems with position-dependent effective mass; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 277; 1; 3-2000; 146-156
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/S0378-4371(99)00478-1
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437199004781
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
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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 13.084122

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