New mathematics for the nonadditive Tsallis' scenario

Autores
Ferri, Gustavo L.; Pennini, Flavia; 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 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.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
Tsallis' statistics
quantum uncertainties
q-exponentials
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/106570
Acceder
id SEDICI_a15a06cf0b258b8d2fb2926ec3f04e53
oai_identifier_str oai:sedici.unlp.edu.ar:10915/106570
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling New mathematics for the nonadditive Tsallis' scenarioFerri, Gustavo L.Pennini, FlaviaPlastino, Ángel LuisRocca, Mario CarlosCiencias ExactasFísicaTsallis' statisticsquantum uncertaintiesq-exponentialsIn 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.Facultad de Ciencias ExactasInstituto de Física La Plata2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/106570enginfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S021797921750151Xinfo:eu-repo/semantics/altIdentifier/issn/1793-6578info:eu-repo/semantics/altIdentifier/doi/10.1142/S021797921750151Xinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:15:51Zoai:sedici.unlp.edu.ar:10915/106570Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:15:51.727SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv New mathematics for the nonadditive Tsallis' scenario
title New mathematics for the nonadditive Tsallis' scenario
spellingShingle New mathematics for the nonadditive Tsallis' scenario
Ferri, Gustavo L.
Ciencias Exactas
Física
Tsallis' statistics
quantum uncertainties
q-exponentials
title_short New mathematics for the nonadditive Tsallis' scenario
title_full New mathematics for the nonadditive Tsallis' scenario
title_fullStr New mathematics for the nonadditive Tsallis' scenario
title_full_unstemmed New mathematics for the nonadditive Tsallis' scenario
title_sort New mathematics for the nonadditive Tsallis' scenario
dc.creator.none.fl_str_mv Ferri, Gustavo L.
Pennini, Flavia
Plastino, Ángel Luis
Rocca, Mario Carlos
author Ferri, Gustavo L.
author_facet Ferri, Gustavo L.
Pennini, Flavia
Plastino, Ángel Luis
Rocca, Mario Carlos
author_role author
author2 Pennini, Flavia
Plastino, Ángel Luis
Rocca, Mario Carlos
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Tsallis' statistics
quantum uncertainties
q-exponentials
topic Ciencias Exactas
Física
Tsallis' statistics
quantum uncertainties
q-exponentials
dc.description.none.fl_txt_mv 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.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description 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
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/106570
url http://sedici.unlp.edu.ar/handle/10915/106570
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S021797921750151X
info:eu-repo/semantics/altIdentifier/issn/1793-6578
info:eu-repo/semantics/altIdentifier/doi/10.1142/S021797921750151X
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1846064216419598336
score 13.22299

Publicaciones similares