New mathematics for the non additive Tsallis' scenario

Autores
Ferri, Gustavo Luis; Pennini, Flavia Catalina; Plastino, Ángel Luis; Rocca, Mario Carlos
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive scenario. To such an end we appeal to q-exponentials (qEs), that are the cornerstone of Tsallis’ theory. In this respect, it is found that some new mathematics is needed and we are led to construct a set of novel special states that are the qE equivalents of the ordinary coherent states (CS) of the harmonic oscillator (HO). We then characterize these new Tsallis’ special states by obtaining the associated (i) probability distributions (PDs) for a state of momentum k, (ii) mean values for some functions of space an momenta and (iii) concomitant quantum uncertainties. The latter are then compared to the usual ones.
Fil: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Pennini, Flavia Catalina. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Tsallis' Statistics
Quantum Uncertainties
Q-Exponentials
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:11336/64353
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/64353
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling New mathematics for the non additive Tsallis' scenarioFerri, Gustavo LuisPennini, Flavia CatalinaPlastino, Ángel LuisRocca, Mario CarlosTsallis' StatisticsQuantum UncertaintiesQ-Exponentialshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive scenario. To such an end we appeal to q-exponentials (qEs), that are the cornerstone of Tsallis’ theory. In this respect, it is found that some new mathematics is needed and we are led to construct a set of novel special states that are the qE equivalents of the ordinary coherent states (CS) of the harmonic oscillator (HO). We then characterize these new Tsallis’ special states by obtaining the associated (i) probability distributions (PDs) for a state of momentum k, (ii) mean values for some functions of space an momenta and (iii) concomitant quantum uncertainties. The latter are then compared to the usual ones.Fil: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Pennini, Flavia Catalina. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaWorld Scientific2017-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/64353Ferri, Gustavo Luis; Pennini, Flavia Catalina; Plastino, Ángel Luis; Rocca, Mario Carlos; New mathematics for the non additive Tsallis' scenario; World Scientific; International Journal of Modern Physics B; 31; 4-2017; 175051-1750700217-9792CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1142/S021797921750151Xinfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S021797921750151Xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:42:54Zoai:ri.conicet.gov.ar:11336/64353instacron: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 14:42:54.527CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv New mathematics for the non additive Tsallis' scenario
title New mathematics for the non additive Tsallis' scenario
spellingShingle New mathematics for the non additive Tsallis' scenario
Ferri, Gustavo Luis
Tsallis' Statistics
Quantum Uncertainties
Q-Exponentials
title_short New mathematics for the non additive Tsallis' scenario
title_full New mathematics for the non additive Tsallis' scenario
title_fullStr New mathematics for the non additive Tsallis' scenario
title_full_unstemmed New mathematics for the non additive Tsallis' scenario
title_sort New mathematics for the non additive Tsallis' scenario
dc.creator.none.fl_str_mv Ferri, Gustavo Luis
Pennini, Flavia Catalina
Plastino, Ángel Luis
Rocca, Mario Carlos
author Ferri, Gustavo Luis
author_facet Ferri, Gustavo Luis
Pennini, Flavia Catalina
Plastino, Ángel Luis
Rocca, Mario Carlos
author_role author
author2 Pennini, Flavia Catalina
Plastino, Ángel Luis
Rocca, Mario Carlos
author2_role author
author
author
dc.subject.none.fl_str_mv Tsallis' Statistics
Quantum Uncertainties
Q-Exponentials
topic Tsallis' Statistics
Quantum Uncertainties
Q-Exponentials
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive scenario. To such an end we appeal to q-exponentials (qEs), that are the cornerstone of Tsallis’ theory. In this respect, it is found that some new mathematics is needed and we are led to construct a set of novel special states that are the qE equivalents of the ordinary coherent states (CS) of the harmonic oscillator (HO). We then characterize these new Tsallis’ special states by obtaining the associated (i) probability distributions (PDs) for a state of momentum k, (ii) mean values for some functions of space an momenta and (iii) concomitant quantum uncertainties. The latter are then compared to the usual ones.
Fil: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Pennini, Flavia Catalina. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive scenario. To such an end we appeal to q-exponentials (qEs), that are the cornerstone of Tsallis’ theory. In this respect, it is found that some new mathematics is needed and we are led to construct a set of novel special states that are the qE equivalents of the ordinary coherent states (CS) of the harmonic oscillator (HO). We then characterize these new Tsallis’ special states by obtaining the associated (i) probability distributions (PDs) for a state of momentum k, (ii) mean values for some functions of space an momenta and (iii) concomitant quantum uncertainties. The latter are then compared to the usual ones.
publishDate 2017
dc.date.none.fl_str_mv 2017-04
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/11336/64353
Ferri, Gustavo Luis; Pennini, Flavia Catalina; Plastino, Ángel Luis; Rocca, Mario Carlos; New mathematics for the non additive Tsallis' scenario; World Scientific; International Journal of Modern Physics B; 31; 4-2017; 175051-175070
0217-9792
CONICET Digital
CONICET
url http://hdl.handle.net/11336/64353
identifier_str_mv Ferri, Gustavo Luis; Pennini, Flavia Catalina; Plastino, Ángel Luis; Rocca, Mario Carlos; New mathematics for the non additive Tsallis' scenario; World Scientific; International Journal of Modern Physics B; 31; 4-2017; 175051-175070
0217-9792
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1142/S021797921750151X
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S021797921750151X
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 World Scientific
publisher.none.fl_str_mv World Scientific
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_ 1846082932210401280
score 13.22299

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