Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations

Autores
Zamora, Darío Javier; Rocca, Mario Carlos; Plastino, Ángel Luis; Ferri, Gustavo Luis
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Interesting non-linear generalization of both Schrödinger's and Klein-Gordon's equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There is much current activity going on in this area. The non-linearity is governed by a real parameter q. Empiric hints suggest that the ensuing non-linear q-Schrödinger and q-Klein-Gordon equations are a natural manifestations of very high energy phenomena, as verified by LHC-experiments. This happens for q-values close to unity (Plastino et al. (Nucl. Phys. A 2016, 955, 16-26, Nucl. Phys. A 2016, 948, 19-27)). It might thus be difficult for q-values close to unity to ascertain whether one is dealing with solutions to the ordinary Schrödinger equation (whose free particle solutions are exponentials and for which q = 1) or with its NRT non-linear q -generalizations, whose free particle solutions are q-exponentials. In this work, we provide a careful analysis of the q ~ 1 instance via a perturbative analysis of the NRT equations.
Fil: Zamora, Darío Javier. 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. 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: Plastino, Ángel Luis. 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: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina
Materia
FIRST ORDER SOLUTION
NON-LINEAR KLEIN-GORDON EQUATION
NON-LINEAR SCHRÖDINGER EQUATION
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:11336/63980
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equationsZamora, Darío JavierRocca, Mario CarlosPlastino, Ángel LuisFerri, Gustavo LuisFIRST ORDER SOLUTIONNON-LINEAR KLEIN-GORDON EQUATIONNON-LINEAR SCHRÖDINGER EQUATIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Interesting non-linear generalization of both Schrödinger's and Klein-Gordon's equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There is much current activity going on in this area. The non-linearity is governed by a real parameter q. Empiric hints suggest that the ensuing non-linear q-Schrödinger and q-Klein-Gordon equations are a natural manifestations of very high energy phenomena, as verified by LHC-experiments. This happens for q-values close to unity (Plastino et al. (Nucl. Phys. A 2016, 955, 16-26, Nucl. Phys. A 2016, 948, 19-27)). It might thus be difficult for q-values close to unity to ascertain whether one is dealing with solutions to the ordinary Schrödinger equation (whose free particle solutions are exponentials and for which q = 1) or with its NRT non-linear q -generalizations, whose free particle solutions are q-exponentials. In this work, we provide a careful analysis of the q ~ 1 instance via a perturbative analysis of the NRT equations.Fil: Zamora, Darío Javier. 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. 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: Plastino, Ángel Luis. 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: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; ArgentinaMolecular Diversity Preservation International2017-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/63980Zamora, Darío Javier; Rocca, Mario Carlos; Plastino, Ángel Luis; Ferri, Gustavo Luis; Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations; Molecular Diversity Preservation International; Entropy; 19; 1; 1-2017; 1-111099-4300CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3390/e19010021info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/19/1/21info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:06:49Zoai:ri.conicet.gov.ar:11336/63980instacron: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:34982025-09-03 10:06:49.424CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
title Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
spellingShingle Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
Zamora, Darío Javier
FIRST ORDER SOLUTION
NON-LINEAR KLEIN-GORDON EQUATION
NON-LINEAR SCHRÖDINGER EQUATION
title_short Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
title_full Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
title_fullStr Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
title_full_unstemmed Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
title_sort Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
dc.creator.none.fl_str_mv Zamora, Darío Javier
Rocca, Mario Carlos
Plastino, Ángel Luis
Ferri, Gustavo Luis
author Zamora, Darío Javier
author_facet Zamora, Darío Javier
Rocca, Mario Carlos
Plastino, Ángel Luis
Ferri, Gustavo Luis
author_role author
author2 Rocca, Mario Carlos
Plastino, Ángel Luis
Ferri, Gustavo Luis
author2_role author
author
author
dc.subject.none.fl_str_mv FIRST ORDER SOLUTION
NON-LINEAR KLEIN-GORDON EQUATION
NON-LINEAR SCHRÖDINGER EQUATION
topic FIRST ORDER SOLUTION
NON-LINEAR KLEIN-GORDON EQUATION
NON-LINEAR SCHRÖDINGER EQUATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Interesting non-linear generalization of both Schrödinger's and Klein-Gordon's equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There is much current activity going on in this area. The non-linearity is governed by a real parameter q. Empiric hints suggest that the ensuing non-linear q-Schrödinger and q-Klein-Gordon equations are a natural manifestations of very high energy phenomena, as verified by LHC-experiments. This happens for q-values close to unity (Plastino et al. (Nucl. Phys. A 2016, 955, 16-26, Nucl. Phys. A 2016, 948, 19-27)). It might thus be difficult for q-values close to unity to ascertain whether one is dealing with solutions to the ordinary Schrödinger equation (whose free particle solutions are exponentials and for which q = 1) or with its NRT non-linear q -generalizations, whose free particle solutions are q-exponentials. In this work, we provide a careful analysis of the q ~ 1 instance via a perturbative analysis of the NRT equations.
Fil: Zamora, Darío Javier. 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. 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: Plastino, Ángel Luis. 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: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina
description Interesting non-linear generalization of both Schrödinger's and Klein-Gordon's equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There is much current activity going on in this area. The non-linearity is governed by a real parameter q. Empiric hints suggest that the ensuing non-linear q-Schrödinger and q-Klein-Gordon equations are a natural manifestations of very high energy phenomena, as verified by LHC-experiments. This happens for q-values close to unity (Plastino et al. (Nucl. Phys. A 2016, 955, 16-26, Nucl. Phys. A 2016, 948, 19-27)). It might thus be difficult for q-values close to unity to ascertain whether one is dealing with solutions to the ordinary Schrödinger equation (whose free particle solutions are exponentials and for which q = 1) or with its NRT non-linear q -generalizations, whose free particle solutions are q-exponentials. In this work, we provide a careful analysis of the q ~ 1 instance via a perturbative analysis of the NRT equations.
publishDate 2017
dc.date.none.fl_str_mv 2017-01
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/11336/63980
Zamora, Darío Javier; Rocca, Mario Carlos; Plastino, Ángel Luis; Ferri, Gustavo Luis; Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations; Molecular Diversity Preservation International; Entropy; 19; 1; 1-2017; 1-11
1099-4300
CONICET Digital
CONICET
url http://hdl.handle.net/11336/63980
identifier_str_mv Zamora, Darío Javier; Rocca, Mario Carlos; Plastino, Ángel Luis; Ferri, Gustavo Luis; Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations; Molecular Diversity Preservation International; Entropy; 19; 1; 1-2017; 1-11
1099-4300
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3390/e19010021
info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/19/1/21
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
application/pdf
dc.publisher.none.fl_str_mv Molecular Diversity Preservation International
publisher.none.fl_str_mv Molecular Diversity Preservation International
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 13.13397

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