A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum

Autores
Murgida, Gustavo Ezequiel; Castagnino, Mario Alberto G. J.
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A mathematical formalism that allows to deal with many problems on quantum systems with continuous evolution spectrum is presented. The usual Hilbert space is generalized to a prehilbert one T where singular states can be represented and an extended Dirac’s notation can be introduced. The obtained formalism contains the Van Hove one but in a more natural way. It allows to explain decoherence and other phenomena.
Fil: Murgida, Gustavo Ezequiel. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Castagnino, Mario Alberto G. J.. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Materia
Van Hove'S Formalism
Normalization
Continous Spectrum
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:11336/22001
Acceder
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network_name_str CONICET Digital (CONICET)
spelling A natural normalization for the eigenstates of a Hamiltonian with continuous spectrumMurgida, Gustavo EzequielCastagnino, Mario Alberto G. J.Van Hove'S FormalismNormalizationContinous Spectrumhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A mathematical formalism that allows to deal with many problems on quantum systems with continuous evolution spectrum is presented. The usual Hilbert space is generalized to a prehilbert one T where singular states can be represented and an extended Dirac’s notation can be introduced. The obtained formalism contains the Van Hove one but in a more natural way. It allows to explain decoherence and other phenomena.Fil: Murgida, Gustavo Ezequiel. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Castagnino, Mario Alberto G. J.. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaElsevier Science2007-12info: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/11336/22001Murgida, Gustavo Ezequiel; Castagnino, Mario Alberto G. J.; A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 381; 12-2007; 170-1880378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2007.03.035info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437107003196info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:42:41Zoai:ri.conicet.gov.ar:11336/22001instacron: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 10:42:41.521CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
title A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
spellingShingle A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
Murgida, Gustavo Ezequiel
Van Hove'S Formalism
Normalization
Continous Spectrum
title_short A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
title_full A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
title_fullStr A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
title_full_unstemmed A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
title_sort A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
dc.creator.none.fl_str_mv Murgida, Gustavo Ezequiel
Castagnino, Mario Alberto G. J.
author Murgida, Gustavo Ezequiel
author_facet Murgida, Gustavo Ezequiel
Castagnino, Mario Alberto G. J.
author_role author
author2 Castagnino, Mario Alberto G. J.
author2_role author
dc.subject.none.fl_str_mv Van Hove'S Formalism
Normalization
Continous Spectrum
topic Van Hove'S Formalism
Normalization
Continous Spectrum
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A mathematical formalism that allows to deal with many problems on quantum systems with continuous evolution spectrum is presented. The usual Hilbert space is generalized to a prehilbert one T where singular states can be represented and an extended Dirac’s notation can be introduced. The obtained formalism contains the Van Hove one but in a more natural way. It allows to explain decoherence and other phenomena.
Fil: Murgida, Gustavo Ezequiel. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Castagnino, Mario Alberto G. J.. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
description A mathematical formalism that allows to deal with many problems on quantum systems with continuous evolution spectrum is presented. The usual Hilbert space is generalized to a prehilbert one T where singular states can be represented and an extended Dirac’s notation can be introduced. The obtained formalism contains the Van Hove one but in a more natural way. It allows to explain decoherence and other phenomena.
publishDate 2007
dc.date.none.fl_str_mv 2007-12
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/11336/22001
Murgida, Gustavo Ezequiel; Castagnino, Mario Alberto G. J.; A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 381; 12-2007; 170-188
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/22001
identifier_str_mv Murgida, Gustavo Ezequiel; Castagnino, Mario Alberto G. J.; A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 381; 12-2007; 170-188
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2007.03.035
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437107003196
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 Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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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