Further analysis of the connected moments expansion

Autores
Amore, Paolo; Fernández, Francisco Marcelo; Rodriguez, Martin
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
By means of simple quantum-mechanical models we show that under certain conditions the main assumptions of the connected moments expansion (CMX) are no longer valid. In particular, we consider two-level systems: the harmonic oscillator and the pure quartic oscillator. Although derived from such simple models, we think that the results of this investigation may be of utility in future applications of the approach to realistic problems. We show that a straightforward analysis of the CMX exponential parameters may provide a clear indication of the success of the approach.
Fil: Amore, Paolo. Universidad de Colima; México
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
Fil: Rodriguez, Martin. Universidad de Colima; México
Materia
Connected moment expansions
Convergence
Two-level models
Oscillators
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:11336/279591
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Further analysis of the connected moments expansionAmore, PaoloFernández, Francisco MarceloRodriguez, MartinConnected moment expansionsConvergenceTwo-level modelsOscillatorshttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1By means of simple quantum-mechanical models we show that under certain conditions the main assumptions of the connected moments expansion (CMX) are no longer valid. In particular, we consider two-level systems: the harmonic oscillator and the pure quartic oscillator. Although derived from such simple models, we think that the results of this investigation may be of utility in future applications of the approach to realistic problems. We show that a straightforward analysis of the CMX exponential parameters may provide a clear indication of the success of the approach.Fil: Amore, Paolo. Universidad de Colima; MéxicoFil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; ArgentinaFil: Rodriguez, Martin. Universidad de Colima; MéxicoIOP Publishing2011-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/279591Amore, Paolo; Fernández, Francisco Marcelo; Rodriguez, Martin; Further analysis of the connected moments expansion; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 50; 11-2011; 1-131751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8113/44/50/505302info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/44/50/505302info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T10:26:03Zoai:ri.conicet.gov.ar:11336/279591instacron: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:34982026-02-26 10:26:03.644CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Further analysis of the connected moments expansion
title Further analysis of the connected moments expansion
spellingShingle Further analysis of the connected moments expansion
Amore, Paolo
Connected moment expansions
Convergence
Two-level models
Oscillators
title_short Further analysis of the connected moments expansion
title_full Further analysis of the connected moments expansion
title_fullStr Further analysis of the connected moments expansion
title_full_unstemmed Further analysis of the connected moments expansion
title_sort Further analysis of the connected moments expansion
dc.creator.none.fl_str_mv Amore, Paolo
Fernández, Francisco Marcelo
Rodriguez, Martin
author Amore, Paolo
author_facet Amore, Paolo
Fernández, Francisco Marcelo
Rodriguez, Martin
author_role author
author2 Fernández, Francisco Marcelo
Rodriguez, Martin
author2_role author
author
dc.subject.none.fl_str_mv Connected moment expansions
Convergence
Two-level models
Oscillators
topic Connected moment expansions
Convergence
Two-level models
Oscillators
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv By means of simple quantum-mechanical models we show that under certain conditions the main assumptions of the connected moments expansion (CMX) are no longer valid. In particular, we consider two-level systems: the harmonic oscillator and the pure quartic oscillator. Although derived from such simple models, we think that the results of this investigation may be of utility in future applications of the approach to realistic problems. We show that a straightforward analysis of the CMX exponential parameters may provide a clear indication of the success of the approach.
Fil: Amore, Paolo. Universidad de Colima; México
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
Fil: Rodriguez, Martin. Universidad de Colima; México
description By means of simple quantum-mechanical models we show that under certain conditions the main assumptions of the connected moments expansion (CMX) are no longer valid. In particular, we consider two-level systems: the harmonic oscillator and the pure quartic oscillator. Although derived from such simple models, we think that the results of this investigation may be of utility in future applications of the approach to realistic problems. We show that a straightforward analysis of the CMX exponential parameters may provide a clear indication of the success of the approach.
publishDate 2011
dc.date.none.fl_str_mv 2011-11
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/11336/279591
Amore, Paolo; Fernández, Francisco Marcelo; Rodriguez, Martin; Further analysis of the connected moments expansion; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 50; 11-2011; 1-13
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/279591
identifier_str_mv Amore, Paolo; Fernández, Francisco Marcelo; Rodriguez, Martin; Further analysis of the connected moments expansion; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 50; 11-2011; 1-13
1751-8113
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/10.1088/1751-8113/44/50/505302
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/44/50/505302
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 13.176822

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