Plateaux of probability for the expanded quantum infinite well

Autores
Chamizo, Fernando; Raboso, Dulcinea; Santillán, Osvaldo Pablo
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
If the standard 1D quantum infinite potential well initially in its ground state suffers a sudden expansion, it turns out that in the evolution of the system they may appear plateaux of probability for some fractional times, as noticed by Aslangul in 2008. We introduce a mathematical framework to explain this phenomenon. Remarkably, the characterization of these plateaux depends on nontrivial number theoretical considerations.
Fil: Chamizo, Fernando. Universidad Autónoma de Madrid; España
Fil: Raboso, Dulcinea. Universidad Autónoma de Madrid; España
Fil: Santillán, Osvaldo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
PLATEAUX
NUMBER
THEORY
REVIVALS
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:11336/265364
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Plateaux of probability for the expanded quantum infinite wellChamizo, FernandoRaboso, DulcineaSantillán, Osvaldo PabloPLATEAUXNUMBERTHEORYREVIVALShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1If the standard 1D quantum infinite potential well initially in its ground state suffers a sudden expansion, it turns out that in the evolution of the system they may appear plateaux of probability for some fractional times, as noticed by Aslangul in 2008. We introduce a mathematical framework to explain this phenomenon. Remarkably, the characterization of these plateaux depends on nontrivial number theoretical considerations.Fil: Chamizo, Fernando. Universidad Autónoma de Madrid; EspañaFil: Raboso, Dulcinea. Universidad Autónoma de Madrid; EspañaFil: Santillán, Osvaldo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaIOP Publishing2025-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/265364Chamizo, Fernando; Raboso, Dulcinea; Santillán, Osvaldo Pablo; Plateaux of probability for the expanded quantum infinite well; IOP Publishing; Physica Scripta; 100; 045210; 3-2025; 1-200031-8949CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1402-4896/adb99einfo:eu-repo/semantics/altIdentifier/doi/ 10.1088/1402-4896/adb99einfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2409.06058v1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:16:27Zoai:ri.conicet.gov.ar:11336/265364instacron: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 11:16:27.638CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Plateaux of probability for the expanded quantum infinite well
title Plateaux of probability for the expanded quantum infinite well
spellingShingle Plateaux of probability for the expanded quantum infinite well
Chamizo, Fernando
PLATEAUX
NUMBER
THEORY
REVIVALS
title_short Plateaux of probability for the expanded quantum infinite well
title_full Plateaux of probability for the expanded quantum infinite well
title_fullStr Plateaux of probability for the expanded quantum infinite well
title_full_unstemmed Plateaux of probability for the expanded quantum infinite well
title_sort Plateaux of probability for the expanded quantum infinite well
dc.creator.none.fl_str_mv Chamizo, Fernando
Raboso, Dulcinea
Santillán, Osvaldo Pablo
author Chamizo, Fernando
author_facet Chamizo, Fernando
Raboso, Dulcinea
Santillán, Osvaldo Pablo
author_role author
author2 Raboso, Dulcinea
Santillán, Osvaldo Pablo
author2_role author
author
dc.subject.none.fl_str_mv PLATEAUX
NUMBER
THEORY
REVIVALS
topic PLATEAUX
NUMBER
THEORY
REVIVALS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv If the standard 1D quantum infinite potential well initially in its ground state suffers a sudden expansion, it turns out that in the evolution of the system they may appear plateaux of probability for some fractional times, as noticed by Aslangul in 2008. We introduce a mathematical framework to explain this phenomenon. Remarkably, the characterization of these plateaux depends on nontrivial number theoretical considerations.
Fil: Chamizo, Fernando. Universidad Autónoma de Madrid; España
Fil: Raboso, Dulcinea. Universidad Autónoma de Madrid; España
Fil: Santillán, Osvaldo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description If the standard 1D quantum infinite potential well initially in its ground state suffers a sudden expansion, it turns out that in the evolution of the system they may appear plateaux of probability for some fractional times, as noticed by Aslangul in 2008. We introduce a mathematical framework to explain this phenomenon. Remarkably, the characterization of these plateaux depends on nontrivial number theoretical considerations.
publishDate 2025
dc.date.none.fl_str_mv 2025-03
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/11336/265364
Chamizo, Fernando; Raboso, Dulcinea; Santillán, Osvaldo Pablo; Plateaux of probability for the expanded quantum infinite well; IOP Publishing; Physica Scripta; 100; 045210; 3-2025; 1-20
0031-8949
CONICET Digital
CONICET
url http://hdl.handle.net/11336/265364
identifier_str_mv Chamizo, Fernando; Raboso, Dulcinea; Santillán, Osvaldo Pablo; Plateaux of probability for the expanded quantum infinite well; IOP Publishing; Physica Scripta; 100; 045210; 3-2025; 1-20
0031-8949
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1402-4896/adb99e
info:eu-repo/semantics/altIdentifier/doi/ 10.1088/1402-4896/adb99e
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2409.06058v1
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 IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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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