Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard

Autores
Fendrik, Alejandro José; Sánchez, María José
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We derive an asymptotic formula for the eigenvalues of the Aharonov-Bohm annular billiard (ABAB) that improves and corrects previous estimates. Employing semiclassical arguments we relate the limitations of the procedure to the topology of the classical phase space of the system.
Fil: Fendrik, Alejandro José. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Sánchez, María José. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
SPECTRAL PROPERTIES
QUANTUM CAVITIES
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:11336/71694
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/71694
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network_name_str CONICET Digital (CONICET)
spelling Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiardFendrik, Alejandro JoséSánchez, María JoséSPECTRAL PROPERTIESQUANTUM CAVITIEShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We derive an asymptotic formula for the eigenvalues of the Aharonov-Bohm annular billiard (ABAB) that improves and corrects previous estimates. Employing semiclassical arguments we relate the limitations of the procedure to the topology of the classical phase space of the system.Fil: Fendrik, Alejandro José. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Sánchez, María José. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAmerican Institute of Physics2001-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/71694Fendrik, Alejandro José; Sánchez, María José; Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard; American Institute of Physics; Journal of Mathematical Physics; 42; 3; 3-2001; 996-10050022-2488CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1063/1.1341235info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/abs/10.1063/1.1341235info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:14:34Zoai:ri.conicet.gov.ar:11336/71694instacron: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:34982025-10-15 15:14:35.147CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard
title Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard
spellingShingle Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard
Fendrik, Alejandro José
SPECTRAL PROPERTIES
QUANTUM CAVITIES
title_short Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard
title_full Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard
title_fullStr Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard
title_full_unstemmed Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard
title_sort Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard
dc.creator.none.fl_str_mv Fendrik, Alejandro José
Sánchez, María José
author Fendrik, Alejandro José
author_facet Fendrik, Alejandro José
Sánchez, María José
author_role author
author2 Sánchez, María José
author2_role author
dc.subject.none.fl_str_mv SPECTRAL PROPERTIES
QUANTUM CAVITIES
topic SPECTRAL PROPERTIES
QUANTUM CAVITIES
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 derive an asymptotic formula for the eigenvalues of the Aharonov-Bohm annular billiard (ABAB) that improves and corrects previous estimates. Employing semiclassical arguments we relate the limitations of the procedure to the topology of the classical phase space of the system.
Fil: Fendrik, Alejandro José. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Sánchez, María José. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We derive an asymptotic formula for the eigenvalues of the Aharonov-Bohm annular billiard (ABAB) that improves and corrects previous estimates. Employing semiclassical arguments we relate the limitations of the procedure to the topology of the classical phase space of the system.
publishDate 2001
dc.date.none.fl_str_mv 2001-03
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/11336/71694
Fendrik, Alejandro José; Sánchez, María José; Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard; American Institute of Physics; Journal of Mathematical Physics; 42; 3; 3-2001; 996-1005
0022-2488
CONICET Digital
CONICET
url http://hdl.handle.net/11336/71694
identifier_str_mv Fendrik, Alejandro José; Sánchez, María José; Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard; American Institute of Physics; Journal of Mathematical Physics; 42; 3; 3-2001; 996-1005
0022-2488
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1063/1.1341235
info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/abs/10.1063/1.1341235
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 American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
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
_version_ 1846083293438541824
score 13.22299

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