Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization

Autores
Cuevas, F.A.; Curilef, S.; Plastino, Ángel Ricardo
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The spread of a wave-packet (or its deformation) is a very important topic in quantum mechanics. Understanding this phenomenon is relevant in connection with the study of diverse physical systems. In this paper we apply various “spreading measures” to characterize the evolution of an initially localized wave-packet in a tight-binding lattice, with special emphasis on information-theoretical measures. We investigate the behavior of both the probability distribution associated with the wave packet and the concomitant probability current. Complexity measures based upon Rényi entropies appear to be particularly good descriptors of the details of the delocalization process.
Fil: Cuevas, F.A.. Universidad Católica del Norte; Chile
Fil: Curilef, S.. Universidad Católica del Norte; Chile
Fil: Plastino, Ángel Ricardo. Universidad de Granada; España. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
TIGHT BINDING
INFORMATION MEASURES
DELOCALIZATION
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:11336/95757
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/95757
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network_name_str CONICET Digital (CONICET)
spelling Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterizationCuevas, F.A.Curilef, S.Plastino, Ángel RicardoTIGHT BINDINGINFORMATION MEASURESDELOCALIZATIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The spread of a wave-packet (or its deformation) is a very important topic in quantum mechanics. Understanding this phenomenon is relevant in connection with the study of diverse physical systems. In this paper we apply various “spreading measures” to characterize the evolution of an initially localized wave-packet in a tight-binding lattice, with special emphasis on information-theoretical measures. We investigate the behavior of both the probability distribution associated with the wave packet and the concomitant probability current. Complexity measures based upon Rényi entropies appear to be particularly good descriptors of the details of the delocalization process.Fil: Cuevas, F.A.. Universidad Católica del Norte; ChileFil: Curilef, S.. Universidad Católica del Norte; ChileFil: Plastino, Ángel Ricardo. Universidad de Granada; España. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAcademic Press Inc Elsevier Science2011-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/95757Cuevas, F.A.; Curilef, S.; Plastino, Ángel Ricardo; Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization; Academic Press Inc Elsevier Science; Annals of Physics (New York); 326; 10; 10-2011; 2834-28440003-4916CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0003491611001126info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2011.07.003info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:02:34Zoai:ri.conicet.gov.ar:11336/95757instacron: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:34982025-10-22 11:02:35.152CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization
title Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization
spellingShingle Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization
Cuevas, F.A.
TIGHT BINDING
INFORMATION MEASURES
DELOCALIZATION
title_short Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization
title_full Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization
title_fullStr Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization
title_full_unstemmed Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization
title_sort Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization
dc.creator.none.fl_str_mv Cuevas, F.A.
Curilef, S.
Plastino, Ángel Ricardo
author Cuevas, F.A.
author_facet Cuevas, F.A.
Curilef, S.
Plastino, Ángel Ricardo
author_role author
author2 Curilef, S.
Plastino, Ángel Ricardo
author2_role author
author
dc.subject.none.fl_str_mv TIGHT BINDING
INFORMATION MEASURES
DELOCALIZATION
topic TIGHT BINDING
INFORMATION MEASURES
DELOCALIZATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The spread of a wave-packet (or its deformation) is a very important topic in quantum mechanics. Understanding this phenomenon is relevant in connection with the study of diverse physical systems. In this paper we apply various “spreading measures” to characterize the evolution of an initially localized wave-packet in a tight-binding lattice, with special emphasis on information-theoretical measures. We investigate the behavior of both the probability distribution associated with the wave packet and the concomitant probability current. Complexity measures based upon Rényi entropies appear to be particularly good descriptors of the details of the delocalization process.
Fil: Cuevas, F.A.. Universidad Católica del Norte; Chile
Fil: Curilef, S.. Universidad Católica del Norte; Chile
Fil: Plastino, Ángel Ricardo. Universidad de Granada; España. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description The spread of a wave-packet (or its deformation) is a very important topic in quantum mechanics. Understanding this phenomenon is relevant in connection with the study of diverse physical systems. In this paper we apply various “spreading measures” to characterize the evolution of an initially localized wave-packet in a tight-binding lattice, with special emphasis on information-theoretical measures. We investigate the behavior of both the probability distribution associated with the wave packet and the concomitant probability current. Complexity measures based upon Rényi entropies appear to be particularly good descriptors of the details of the delocalization process.
publishDate 2011
dc.date.none.fl_str_mv 2011-10
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/11336/95757
Cuevas, F.A.; Curilef, S.; Plastino, Ángel Ricardo; Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization; Academic Press Inc Elsevier Science; Annals of Physics (New York); 326; 10; 10-2011; 2834-2844
0003-4916
CONICET Digital
CONICET
url http://hdl.handle.net/11336/95757
identifier_str_mv Cuevas, F.A.; Curilef, S.; Plastino, Ángel Ricardo; Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization; Academic Press Inc Elsevier Science; Annals of Physics (New York); 326; 10; 10-2011; 2834-2844
0003-4916
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/S0003491611001126
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2011.07.003
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 Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc 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 12.982451

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