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
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/190078
Ver los metadatos del registro completo
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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 |
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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 |
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info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2011.09.031 |
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info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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openAccess |
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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application/pdf application/pdf |
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Elsevier Science |
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Elsevier Science |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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