Analytic structure of the S-matrix for singular quantum mechanics

Autores
Camblong, Horacio E.; Epele, Luis Nicolás; Fanchiotti, Huner; García Canal, Carlos Alberto
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The analytic structure of the S-matrix of singular quantum mechanics is examined within a multichannel framework, with primary focus on its dependence with respect to a parameter (Ω) that determines the boundary conditions. Specifically, a characterization is given in terms of salient mathematical and physical properties governing its behavior. These properties involve unitarity and associated current-conserving Wronskian relations, time-reversal invariance, and Blaschke factorization. The approach leads to an interpretation of effective nonunitary solutions in singular quantum mechanics and their determination from the unitary family.
Instituto de Física La Plata
Consejo Nacional de Investigaciones Científicas y Técnicas
Materia
Física
Time reversal: invariance
Singular quantum mechanics
Unitarity
S-matrix
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/99157
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/99157
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Analytic structure of the S-matrix for singular quantum mechanicsCamblong, Horacio E.Epele, Luis NicolásFanchiotti, HunerGarcía Canal, Carlos AlbertoFísicaTime reversal: invarianceSingular quantum mechanicsUnitarityS-matrixThe analytic structure of the S-matrix of singular quantum mechanics is examined within a multichannel framework, with primary focus on its dependence with respect to a parameter (Ω) that determines the boundary conditions. Specifically, a characterization is given in terms of salient mathematical and physical properties governing its behavior. These properties involve unitarity and associated current-conserving Wronskian relations, time-reversal invariance, and Blaschke factorization. The approach leads to an interpretation of effective nonunitary solutions in singular quantum mechanics and their determination from the unitary family.Instituto de Física La PlataConsejo Nacional de Investigaciones Científicas y Técnicas2015-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf62105-62113http://sedici.unlp.edu.ar/handle/10915/99157enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/50035info:eu-repo/semantics/altIdentifier/issn/0022-2488info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4921174info:eu-repo/semantics/altIdentifier/arxiv/1411.4371info:eu-repo/semantics/altIdentifier/hdl/11336/50035info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:20:06Zoai:sedici.unlp.edu.ar:10915/99157Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:20:06.879SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Analytic structure of the S-matrix for singular quantum mechanics
title Analytic structure of the S-matrix for singular quantum mechanics
spellingShingle Analytic structure of the S-matrix for singular quantum mechanics
Camblong, Horacio E.
Física
Time reversal: invariance
Singular quantum mechanics
Unitarity
S-matrix
title_short Analytic structure of the S-matrix for singular quantum mechanics
title_full Analytic structure of the S-matrix for singular quantum mechanics
title_fullStr Analytic structure of the S-matrix for singular quantum mechanics
title_full_unstemmed Analytic structure of the S-matrix for singular quantum mechanics
title_sort Analytic structure of the S-matrix for singular quantum mechanics
dc.creator.none.fl_str_mv Camblong, Horacio E.
Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
author Camblong, Horacio E.
author_facet Camblong, Horacio E.
Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
author_role author
author2 Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Time reversal: invariance
Singular quantum mechanics
Unitarity
S-matrix
topic Física
Time reversal: invariance
Singular quantum mechanics
Unitarity
S-matrix
dc.description.none.fl_txt_mv The analytic structure of the S-matrix of singular quantum mechanics is examined within a multichannel framework, with primary focus on its dependence with respect to a parameter (Ω) that determines the boundary conditions. Specifically, a characterization is given in terms of salient mathematical and physical properties governing its behavior. These properties involve unitarity and associated current-conserving Wronskian relations, time-reversal invariance, and Blaschke factorization. The approach leads to an interpretation of effective nonunitary solutions in singular quantum mechanics and their determination from the unitary family.
Instituto de Física La Plata
Consejo Nacional de Investigaciones Científicas y Técnicas
description The analytic structure of the S-matrix of singular quantum mechanics is examined within a multichannel framework, with primary focus on its dependence with respect to a parameter (Ω) that determines the boundary conditions. Specifically, a characterization is given in terms of salient mathematical and physical properties governing its behavior. These properties involve unitarity and associated current-conserving Wronskian relations, time-reversal invariance, and Blaschke factorization. The approach leads to an interpretation of effective nonunitary solutions in singular quantum mechanics and their determination from the unitary family.
publishDate 2015
dc.date.none.fl_str_mv 2015-05
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
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/99157
url http://sedici.unlp.edu.ar/handle/10915/99157
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/50035
info:eu-repo/semantics/altIdentifier/issn/0022-2488
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4921174
info:eu-repo/semantics/altIdentifier/arxiv/1411.4371
info:eu-repo/semantics/altIdentifier/hdl/11336/50035
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
62105-62113
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
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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