Geometry of positive operators and uhlmann's approach to the geometric phase

Autores
Corach, Gustavo; Maestripieri, Alejandra Laura
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In Uhlmann's description of the differential geometry of the space Ω of density operators, a relevant role is played by the parallel condition w*w =w*w, where w is a lifting of acurve y in Ω, i.e. w(t)o(t)* = y(t) for all t. In this paper we get a principal bundle with a natural connection over the space G + of all positive invertible elements of a C*-algebra such that the parallel transport is ruled by Uhlmann's parallel equation.
Fil: Corach, Gustavo. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
Fil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
Materia
DENSITY OPERATORS
PARALLEL TRANSPORT
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:11336/110897
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Geometry of positive operators and uhlmann's approach to the geometric phaseCorach, GustavoMaestripieri, Alejandra LauraDENSITY OPERATORSPARALLEL TRANSPORThttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In Uhlmann's description of the differential geometry of the space Ω of density operators, a relevant role is played by the parallel condition w*w =w*w, where w is a lifting of acurve y in Ω, i.e. w(t)o(t)* = y(t) for all t. In this paper we get a principal bundle with a natural connection over the space G + of all positive invertible elements of a C*-algebra such that the parallel transport is ruled by Uhlmann's parallel equation.Fil: Corach, Gustavo. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería; ArgentinaFil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; ArgentinaPergamon-Elsevier Science Ltd2001-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/110897Corach, Gustavo; Maestripieri, Alejandra Laura; Geometry of positive operators and uhlmann's approach to the geometric phase; Pergamon-Elsevier Science Ltd; Reports On Mathematical Physics; 47; 2; 4-2001; 287-2990034-4877CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0034487701800446?via%3Dihubinfo:eu-repo/semantics/altIdentifier/doi/10.1016/S0034-4877(01)80044-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:28:01Zoai:ri.conicet.gov.ar:11336/110897instacron: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:34982025-09-29 10:28:01.478CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Geometry of positive operators and uhlmann's approach to the geometric phase
title Geometry of positive operators and uhlmann's approach to the geometric phase
spellingShingle Geometry of positive operators and uhlmann's approach to the geometric phase
Corach, Gustavo
DENSITY OPERATORS
PARALLEL TRANSPORT
title_short Geometry of positive operators and uhlmann's approach to the geometric phase
title_full Geometry of positive operators and uhlmann's approach to the geometric phase
title_fullStr Geometry of positive operators and uhlmann's approach to the geometric phase
title_full_unstemmed Geometry of positive operators and uhlmann's approach to the geometric phase
title_sort Geometry of positive operators and uhlmann's approach to the geometric phase
dc.creator.none.fl_str_mv Corach, Gustavo
Maestripieri, Alejandra Laura
author Corach, Gustavo
author_facet Corach, Gustavo
Maestripieri, Alejandra Laura
author_role author
author2 Maestripieri, Alejandra Laura
author2_role author
dc.subject.none.fl_str_mv DENSITY OPERATORS
PARALLEL TRANSPORT
topic DENSITY OPERATORS
PARALLEL TRANSPORT
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In Uhlmann's description of the differential geometry of the space Ω of density operators, a relevant role is played by the parallel condition w*w =w*w, where w is a lifting of acurve y in Ω, i.e. w(t)o(t)* = y(t) for all t. In this paper we get a principal bundle with a natural connection over the space G + of all positive invertible elements of a C*-algebra such that the parallel transport is ruled by Uhlmann's parallel equation.
Fil: Corach, Gustavo. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
Fil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
description In Uhlmann's description of the differential geometry of the space Ω of density operators, a relevant role is played by the parallel condition w*w =w*w, where w is a lifting of acurve y in Ω, i.e. w(t)o(t)* = y(t) for all t. In this paper we get a principal bundle with a natural connection over the space G + of all positive invertible elements of a C*-algebra such that the parallel transport is ruled by Uhlmann's parallel equation.
publishDate 2001
dc.date.none.fl_str_mv 2001-04
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/11336/110897
Corach, Gustavo; Maestripieri, Alejandra Laura; Geometry of positive operators and uhlmann's approach to the geometric phase; Pergamon-Elsevier Science Ltd; Reports On Mathematical Physics; 47; 2; 4-2001; 287-299
0034-4877
CONICET Digital
CONICET
url http://hdl.handle.net/11336/110897
identifier_str_mv Corach, Gustavo; Maestripieri, Alejandra Laura; Geometry of positive operators and uhlmann's approach to the geometric phase; Pergamon-Elsevier Science Ltd; Reports On Mathematical Physics; 47; 2; 4-2001; 287-299
0034-4877
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://www.sciencedirect.com/science/article/pii/S0034487701800446?via%3Dihub
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0034-4877(01)80044-6
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 Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
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
_version_ 1844614283308040192
score 13.070432

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