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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/265364
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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 Técnicas2025-09-29T09:47:34Zoai: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:34982025-09-29 09:47:35.041CONICET 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 |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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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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1844613481834217472 |
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13.070432 |