A quantum uncertainty relation based on Fisher's information

Autores
Sánchez Moreno, P.; Plastino, Ángel Ricardo; Dehesa, J.S.
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We explore quantum uncertainty relations involving the Fisher information functionals Ix and Ip evaluated, respectively, on a wavefunction Ψ(x) defined on a D-dimensional configuration space and the concomitant wavefunction Ψ(p) on the conjugate momentum space. We prove that the associated Fisher functionals obey the uncertainty relation IxIp ≥ 4D2 when either Ψ(x) or Ψ(p) is real. On the other hand, there is no lower bound to the above product for arbitrary complex wavefunctions. We give explicit examples of complex wavefunctions not obeying the above bound. In particular, we provide a parametrized wavefunction for which the product IxIp can be made arbitrarily small.
Fil: Sánchez Moreno, P.. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; España
Fil: Plastino, Ángel Ricardo. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; España. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Dehesa, J.S.. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; España
Materia
UNCERTAINTY RELATIONS
FISHER INFORMATION
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:11336/104258
Acceder
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spelling A quantum uncertainty relation based on Fisher's informationSánchez Moreno, P.Plastino, Ángel RicardoDehesa, J.S.UNCERTAINTY RELATIONSFISHER INFORMATIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We explore quantum uncertainty relations involving the Fisher information functionals Ix and Ip evaluated, respectively, on a wavefunction Ψ(x) defined on a D-dimensional configuration space and the concomitant wavefunction Ψ(p) on the conjugate momentum space. We prove that the associated Fisher functionals obey the uncertainty relation IxIp ≥ 4D2 when either Ψ(x) or Ψ(p) is real. On the other hand, there is no lower bound to the above product for arbitrary complex wavefunctions. We give explicit examples of complex wavefunctions not obeying the above bound. In particular, we provide a parametrized wavefunction for which the product IxIp can be made arbitrarily small.Fil: Sánchez Moreno, P.. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; EspañaFil: Plastino, Ángel Ricardo. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; España. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Dehesa, J.S.. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; EspañaIOP Publishing2011-02info: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/11336/104258Sánchez Moreno, P.; Plastino, Ángel Ricardo; Dehesa, J.S.; A quantum uncertainty relation based on Fisher's information; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 6; 2-2011; 65301-653091751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8113/44/6/065301info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/44/6/065301info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:19:42Zoai:ri.conicet.gov.ar:11336/104258instacron: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 15:19:42.919CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A quantum uncertainty relation based on Fisher's information
title A quantum uncertainty relation based on Fisher's information
spellingShingle A quantum uncertainty relation based on Fisher's information
Sánchez Moreno, P.
UNCERTAINTY RELATIONS
FISHER INFORMATION
title_short A quantum uncertainty relation based on Fisher's information
title_full A quantum uncertainty relation based on Fisher's information
title_fullStr A quantum uncertainty relation based on Fisher's information
title_full_unstemmed A quantum uncertainty relation based on Fisher's information
title_sort A quantum uncertainty relation based on Fisher's information
dc.creator.none.fl_str_mv Sánchez Moreno, P.
Plastino, Ángel Ricardo
Dehesa, J.S.
author Sánchez Moreno, P.
author_facet Sánchez Moreno, P.
Plastino, Ángel Ricardo
Dehesa, J.S.
author_role author
author2 Plastino, Ángel Ricardo
Dehesa, J.S.
author2_role author
author
dc.subject.none.fl_str_mv UNCERTAINTY RELATIONS
FISHER INFORMATION
topic UNCERTAINTY RELATIONS
FISHER INFORMATION
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 explore quantum uncertainty relations involving the Fisher information functionals Ix and Ip evaluated, respectively, on a wavefunction Ψ(x) defined on a D-dimensional configuration space and the concomitant wavefunction Ψ(p) on the conjugate momentum space. We prove that the associated Fisher functionals obey the uncertainty relation IxIp ≥ 4D2 when either Ψ(x) or Ψ(p) is real. On the other hand, there is no lower bound to the above product for arbitrary complex wavefunctions. We give explicit examples of complex wavefunctions not obeying the above bound. In particular, we provide a parametrized wavefunction for which the product IxIp can be made arbitrarily small.
Fil: Sánchez Moreno, P.. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; España
Fil: Plastino, Ángel Ricardo. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; España. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Dehesa, J.S.. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; España
description We explore quantum uncertainty relations involving the Fisher information functionals Ix and Ip evaluated, respectively, on a wavefunction Ψ(x) defined on a D-dimensional configuration space and the concomitant wavefunction Ψ(p) on the conjugate momentum space. We prove that the associated Fisher functionals obey the uncertainty relation IxIp ≥ 4D2 when either Ψ(x) or Ψ(p) is real. On the other hand, there is no lower bound to the above product for arbitrary complex wavefunctions. We give explicit examples of complex wavefunctions not obeying the above bound. In particular, we provide a parametrized wavefunction for which the product IxIp can be made arbitrarily small.
publishDate 2011
dc.date.none.fl_str_mv 2011-02
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/11336/104258
Sánchez Moreno, P.; Plastino, Ángel Ricardo; Dehesa, J.S.; A quantum uncertainty relation based on Fisher's information; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 6; 2-2011; 65301-65309
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/104258
identifier_str_mv Sánchez Moreno, P.; Plastino, Ángel Ricardo; Dehesa, J.S.; A quantum uncertainty relation based on Fisher's information; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 6; 2-2011; 65301-65309
1751-8113
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8113/44/6/065301
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/44/6/065301
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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