Unitary Operators and Variational Approaches for One-Dimensional Hamiltonians

Autores
Bozzolo, G.; Esebbag, C; Nuñez, J.; Plastino, Ángel Luis
Año de publicación
1988
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Several variational approaches for the one-dimensional Schrodinger equation are devised by recourse to suitable expansions of the unitary operator that relates the corresponding eigenstates of the harmonic oscillator. A connection with the virial theorem, via scaling properties is established and an application to the ring puckering motion is discussed.
Departamento de Física
Materia
Física
Ciencias Exactas
one-dimensional Schrodinger equation
harmonic oscillator
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/141362

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spelling Unitary Operators and Variational Approaches for One-Dimensional HamiltoniansBozzolo, G.Esebbag, CNuñez, J.Plastino, Ángel LuisFísicaCiencias Exactasone-dimensional Schrodinger equationharmonic oscillatorSeveral variational approaches for the one-dimensional Schrodinger equation are devised by recourse to suitable expansions of the unitary operator that relates the corresponding eigenstates of the harmonic oscillator. A connection with the virial theorem, via scaling properties is established and an application to the ring puckering motion is discussed.Departamento de Física1988-07-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf39-47http://sedici.unlp.edu.ar/handle/10915/141362enginfo:eu-repo/semantics/altIdentifier/issn/0033-068xinfo:eu-repo/semantics/altIdentifier/issn/1347-4081info:eu-repo/semantics/altIdentifier/doi/10.1143/ptp.80.39info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T11:04:14Zoai:sedici.unlp.edu.ar:10915/141362Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:04:14.516SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Unitary Operators and Variational Approaches for One-Dimensional Hamiltonians
title Unitary Operators and Variational Approaches for One-Dimensional Hamiltonians
spellingShingle Unitary Operators and Variational Approaches for One-Dimensional Hamiltonians
Bozzolo, G.
Física
Ciencias Exactas
one-dimensional Schrodinger equation
harmonic oscillator
title_short Unitary Operators and Variational Approaches for One-Dimensional Hamiltonians
title_full Unitary Operators and Variational Approaches for One-Dimensional Hamiltonians
title_fullStr Unitary Operators and Variational Approaches for One-Dimensional Hamiltonians
title_full_unstemmed Unitary Operators and Variational Approaches for One-Dimensional Hamiltonians
title_sort Unitary Operators and Variational Approaches for One-Dimensional Hamiltonians
dc.creator.none.fl_str_mv Bozzolo, G.
Esebbag, C
Nuñez, J.
Plastino, Ángel Luis
author Bozzolo, G.
author_facet Bozzolo, G.
Esebbag, C
Nuñez, J.
Plastino, Ángel Luis
author_role author
author2 Esebbag, C
Nuñez, J.
Plastino, Ángel Luis
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Ciencias Exactas
one-dimensional Schrodinger equation
harmonic oscillator
topic Física
Ciencias Exactas
one-dimensional Schrodinger equation
harmonic oscillator
dc.description.none.fl_txt_mv Several variational approaches for the one-dimensional Schrodinger equation are devised by recourse to suitable expansions of the unitary operator that relates the corresponding eigenstates of the harmonic oscillator. A connection with the virial theorem, via scaling properties is established and an application to the ring puckering motion is discussed.
Departamento de Física
description Several variational approaches for the one-dimensional Schrodinger equation are devised by recourse to suitable expansions of the unitary operator that relates the corresponding eigenstates of the harmonic oscillator. A connection with the virial theorem, via scaling properties is established and an application to the ring puckering motion is discussed.
publishDate 1988
dc.date.none.fl_str_mv 1988-07-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
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format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/141362
url http://sedici.unlp.edu.ar/handle/10915/141362
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0033-068x
info:eu-repo/semantics/altIdentifier/issn/1347-4081
info:eu-repo/semantics/altIdentifier/doi/10.1143/ptp.80.39
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
39-47
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instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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