On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian

Autores
Fernández, Francisco Marcelo
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The non-crossing rule for the energy levels of a parameter-dependent Hamiltonian is revisited and a flaw in a commonly accepted proof is revealed. Some aspects of avoided crossings are illustrated by means of simple models. One of them shows the close relationship between avoided crossings and exceptional points.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; Argentina
Materia
AVOIDED CROSSING
NON-CROSSING RULE
PARAMETER-DEPENDENT OPERATORS
EXCEPTIONAL POINTS
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:11336/5147
Acceder
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network_name_str CONICET Digital (CONICET)
spelling On the crossing of the energy levels of a parameter-dependent quantum-mechanical HamiltonianFernández, Francisco MarceloAVOIDED CROSSINGNON-CROSSING RULEPARAMETER-DEPENDENT OPERATORSEXCEPTIONAL POINTShttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1The non-crossing rule for the energy levels of a parameter-dependent Hamiltonian is revisited and a flaw in a commonly accepted proof is revealed. Some aspects of avoided crossings are illustrated by means of simple models. One of them shows the close relationship between avoided crossings and exceptional points.Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; ArgentinaSpringer2014-07-17info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/5147Fernández, Francisco Marcelo; On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian; Springer; Journal of Mathematical Chemistry; 52; 9; 17-7-2014; 2322-23290259-9791enginfo:eu-repo/semantics/altIdentifier/arxiv/1405.6414v2info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1405.6414info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10910-014-0386-1info:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/altIdentifier/doi/10.1007/s10910-014-0386-1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:19:01Zoai:ri.conicet.gov.ar:11336/5147instacron: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 10:19:01.718CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian
title On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian
spellingShingle On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian
Fernández, Francisco Marcelo
AVOIDED CROSSING
NON-CROSSING RULE
PARAMETER-DEPENDENT OPERATORS
EXCEPTIONAL POINTS
title_short On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian
title_full On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian
title_fullStr On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian
title_full_unstemmed On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian
title_sort On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian
dc.creator.none.fl_str_mv Fernández, Francisco Marcelo
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_role author
dc.subject.none.fl_str_mv AVOIDED CROSSING
NON-CROSSING RULE
PARAMETER-DEPENDENT OPERATORS
EXCEPTIONAL POINTS
topic AVOIDED CROSSING
NON-CROSSING RULE
PARAMETER-DEPENDENT OPERATORS
EXCEPTIONAL POINTS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The non-crossing rule for the energy levels of a parameter-dependent Hamiltonian is revisited and a flaw in a commonly accepted proof is revealed. Some aspects of avoided crossings are illustrated by means of simple models. One of them shows the close relationship between avoided crossings and exceptional points.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; Argentina
description The non-crossing rule for the energy levels of a parameter-dependent Hamiltonian is revisited and a flaw in a commonly accepted proof is revealed. Some aspects of avoided crossings are illustrated by means of simple models. One of them shows the close relationship between avoided crossings and exceptional points.
publishDate 2014
dc.date.none.fl_str_mv 2014-07-17
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/11336/5147
Fernández, Francisco Marcelo; On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian; Springer; Journal of Mathematical Chemistry; 52; 9; 17-7-2014; 2322-2329
0259-9791
url http://hdl.handle.net/11336/5147
identifier_str_mv Fernández, Francisco Marcelo; On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian; Springer; Journal of Mathematical Chemistry; 52; 9; 17-7-2014; 2322-2329
0259-9791
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/arxiv/1405.6414v2
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1405.6414
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10910-014-0386-1
info:eu-repo/semantics/altIdentifier/doi/
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10910-014-0386-1
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
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 13.070432

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