Quantum potentials with q-Gaussian ground states

Autores
Vignat, Christophe; Plastino, Ángel Ricardo; Sanchez Dehesa, Jesus
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We determine families of spherically symmetrical D-dimensional quantum potential functions V(r) having ground-state wavefunctions that exhibit, either in configuration space or in momentum space, the form of an isotropic q-Gaussian. These wavefunctions admit a maximum-entropy description in terms of Sq power-law entropies. We show that the potentials with a ground state of the q-Gaussian form in momentum space admit the Coulomb potential −1/r as a particular instance. Furthermore, all these potentials behave asymptotically as the Coulomb potential for large r for all values of the parameter q such that 0 < q < 1.
Fil: Vignat, Christophe. No especifíca;
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Sanchez Dehesa, Jesus. Universidad de Granada; España
Materia
COULOMB POTENTIAL
Q-GAUSSIAN
SPHERICALLY SYMMETRICAL QUANTUM POTENTIALS
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:11336/190078
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/190078
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Quantum potentials with q-Gaussian ground statesVignat, ChristophePlastino, Ángel RicardoSanchez Dehesa, JesusCOULOMB POTENTIALQ-GAUSSIANSPHERICALLY SYMMETRICAL QUANTUM POTENTIALShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We determine families of spherically symmetrical D-dimensional quantum potential functions V(r) having ground-state wavefunctions that exhibit, either in configuration space or in momentum space, the form of an isotropic q-Gaussian. These wavefunctions admit a maximum-entropy description in terms of Sq power-law entropies. We show that the potentials with a ground state of the q-Gaussian form in momentum space admit the Coulomb potential −1/r as a particular instance. Furthermore, all these potentials behave asymptotically as the Coulomb potential for large r for all values of the parameter q such that 0 < q < 1.Fil: Vignat, Christophe. No especifíca;Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Sanchez Dehesa, Jesus. Universidad de Granada; EspañaElsevier Science2012-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/190078Vignat, Christophe; Plastino, Ángel Ricardo; Sanchez Dehesa, Jesus; Quantum potentials with q-Gaussian ground states; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 4; 2-2012; 1068-10730378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2011.09.031info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:06:08Zoai:ri.conicet.gov.ar:11336/190078instacron: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 12:06:08.606CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantum potentials with q-Gaussian ground states
title Quantum potentials with q-Gaussian ground states
spellingShingle Quantum potentials with q-Gaussian ground states
Vignat, Christophe
COULOMB POTENTIAL
Q-GAUSSIAN
SPHERICALLY SYMMETRICAL QUANTUM POTENTIALS
title_short Quantum potentials with q-Gaussian ground states
title_full Quantum potentials with q-Gaussian ground states
title_fullStr Quantum potentials with q-Gaussian ground states
title_full_unstemmed Quantum potentials with q-Gaussian ground states
title_sort Quantum potentials with q-Gaussian ground states
dc.creator.none.fl_str_mv Vignat, Christophe
Plastino, Ángel Ricardo
Sanchez Dehesa, Jesus
author Vignat, Christophe
author_facet Vignat, Christophe
Plastino, Ángel Ricardo
Sanchez Dehesa, Jesus
author_role author
author2 Plastino, Ángel Ricardo
Sanchez Dehesa, Jesus
author2_role author
author
dc.subject.none.fl_str_mv COULOMB POTENTIAL
Q-GAUSSIAN
SPHERICALLY SYMMETRICAL QUANTUM POTENTIALS
topic COULOMB POTENTIAL
Q-GAUSSIAN
SPHERICALLY SYMMETRICAL QUANTUM POTENTIALS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We determine families of spherically symmetrical D-dimensional quantum potential functions V(r) having ground-state wavefunctions that exhibit, either in configuration space or in momentum space, the form of an isotropic q-Gaussian. These wavefunctions admit a maximum-entropy description in terms of Sq power-law entropies. We show that the potentials with a ground state of the q-Gaussian form in momentum space admit the Coulomb potential −1/r as a particular instance. Furthermore, all these potentials behave asymptotically as the Coulomb potential for large r for all values of the parameter q such that 0 < q < 1.
Fil: Vignat, Christophe. No especifíca;
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Sanchez Dehesa, Jesus. Universidad de Granada; España
description We determine families of spherically symmetrical D-dimensional quantum potential functions V(r) having ground-state wavefunctions that exhibit, either in configuration space or in momentum space, the form of an isotropic q-Gaussian. These wavefunctions admit a maximum-entropy description in terms of Sq power-law entropies. We show that the potentials with a ground state of the q-Gaussian form in momentum space admit the Coulomb potential −1/r as a particular instance. Furthermore, all these potentials behave asymptotically as the Coulomb potential for large r for all values of the parameter q such that 0 < q < 1.
publishDate 2012
dc.date.none.fl_str_mv 2012-02
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/11336/190078
Vignat, Christophe; Plastino, Ángel Ricardo; Sanchez Dehesa, Jesus; Quantum potentials with q-Gaussian ground states; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 4; 2-2012; 1068-1073
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/190078
identifier_str_mv Vignat, Christophe; Plastino, Ángel Ricardo; Sanchez Dehesa, Jesus; Quantum potentials with q-Gaussian ground states; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 4; 2-2012; 1068-1073
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2011.09.031
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 Elsevier Science
publisher.none.fl_str_mv 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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