From the hypergeometric differential equation to a non-linear Schrödinger one

We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation can be transformed into a non-linear Schrodinger equation (NLSE). This NLSE exhibits both similarities and differences...

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Detalles Bibliográficos
Autores: Plastino, Ángel Luis, Rocca, Mario Carlos
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/131841
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131841
Access Level:acceso abierto
Palabra clave:Física
Non-linear Schrödinger equations
Separation of variables
Hypergeometric function
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spelling From the hypergeometric differential equation to a non-linear Schrödinger onePlastino, Ángel LuisRocca, Mario CarlosFísicaNon-linear Schrödinger equationsSeparation of variablesHypergeometric functionWe show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation can be transformed into a non-linear Schrodinger equation (NLSE). This NLSE exhibits both similarities and differences vis-a-vis the Nobre–Rego-Monteiro–Tsallis one.Instituto de Física La Plata2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf2690-2693http://sedici.unlp.edu.ar/handle/10915/131841enginfo:eu-repo/semantics/altIdentifier/issn/0375-9601info:eu-repo/semantics/altIdentifier/arxiv/1505.01334info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physleta.2015.08.015info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2024-05-08T13:09:48Zoai:sedici.unlp.edu.ar:10915/131841Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292024-05-08 13:09:48.449SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv From the hypergeometric differential equation to a non-linear Schrödinger one
title From the hypergeometric differential equation to a non-linear Schrödinger one
spellingShingle From the hypergeometric differential equation to a non-linear Schrödinger one
Plastino, Ángel Luis
Física
Non-linear Schrödinger equations
Separation of variables
Hypergeometric function
title_short From the hypergeometric differential equation to a non-linear Schrödinger one
title_full From the hypergeometric differential equation to a non-linear Schrödinger one
title_fullStr From the hypergeometric differential equation to a non-linear Schrödinger one
title_full_unstemmed From the hypergeometric differential equation to a non-linear Schrödinger one
title_sort From the hypergeometric differential equation to a non-linear Schrödinger one
dc.creator.none.fl_str_mv Plastino, Ángel Luis
Rocca, Mario Carlos
author Plastino, Ángel Luis
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_role author
author2 Rocca, Mario Carlos
author2_role author
dc.subject.none.fl_str_mv Física
Non-linear Schrödinger equations
Separation of variables
Hypergeometric function
topic Física
Non-linear Schrödinger equations
Separation of variables
Hypergeometric function
description We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation can be transformed into a non-linear Schrodinger equation (NLSE). This NLSE exhibits both similarities and differences vis-a-vis the Nobre–Rego-Monteiro–Tsallis one.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/131841
url http://sedici.unlp.edu.ar/handle/10915/131841
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0375-9601
info:eu-repo/semantics/altIdentifier/arxiv/1505.01334
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physleta.2015.08.015
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
2690-2693
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instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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