P T -symmetric strings

Autores
Amore, Paolo; Fernández, Francisco Marcelo; Garcia, Javier; Gutierrez, German
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study both analytically and numerically the spectrum of inhomogeneous strings with PT-symmetric density. We discuss an exactly solvable model of PT-symmetric string which is isospectral to the uniform string; for more general strings, we calculate exactly the sum rules View the MathML source, with p=1,2,… and find explicit expressions which can be used to obtain bounds on the lowest eigenvalue. A detailed numerical calculation is carried out for two non-solvable models depending on a parameter, obtaining precise estimates of the critical values where pair of real eigenvalues become complex.
Fil: Amore, Paolo. Universidad de Colima; México
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
Fil: Garcia, Javier. 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
Fil: Gutierrez, German. Universidad de Colima; México
Materia
Pt-Symmetric Strings
Spectrum
Bounds
Exceptional Points
Complex Borg Strings
Critical Parameters
Exact Sum Rules
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/5152
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/5152
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling P T -symmetric stringsAmore, PaoloFernández, Francisco MarceloGarcia, JavierGutierrez, GermanPt-Symmetric StringsSpectrumBoundsExceptional PointsComplex Borg StringsCritical ParametersExact Sum Ruleshttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We study both analytically and numerically the spectrum of inhomogeneous strings with PT-symmetric density. We discuss an exactly solvable model of PT-symmetric string which is isospectral to the uniform string; for more general strings, we calculate exactly the sum rules View the MathML source, with p=1,2,… and find explicit expressions which can be used to obtain bounds on the lowest eigenvalue. A detailed numerical calculation is carried out for two non-solvable models depending on a parameter, obtaining precise estimates of the critical values where pair of real eigenvalues become complex.Fil: Amore, Paolo. Universidad de Colima; MéxicoFil: 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; ArgentinaFil: Garcia, Javier. 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; ArgentinaFil: Gutierrez, German. Universidad de Colima; MéxicoElsevier2014-04info: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/11336/5152Amore, Paolo ; Fernández, Francisco Marcelo; Garcia, Javier; Gutierrez, German; P T -symmetric strings; Elsevier; Annals Of Physics (new York); 343; 4-2014; 61-710003-4916enginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0003491614000141info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2014.01.013info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:23:28Zoai:ri.conicet.gov.ar:11336/5152instacron: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:34982025-10-22 11:23:28.574CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv P T -symmetric strings
title P T -symmetric strings
spellingShingle P T -symmetric strings
Amore, Paolo
Pt-Symmetric Strings
Spectrum
Bounds
Exceptional Points
Complex Borg Strings
Critical Parameters
Exact Sum Rules
title_short P T -symmetric strings
title_full P T -symmetric strings
title_fullStr P T -symmetric strings
title_full_unstemmed P T -symmetric strings
title_sort P T -symmetric strings
dc.creator.none.fl_str_mv Amore, Paolo
Fernández, Francisco Marcelo
Garcia, Javier
Gutierrez, German
author Amore, Paolo
author_facet Amore, Paolo
Fernández, Francisco Marcelo
Garcia, Javier
Gutierrez, German
author_role author
author2 Fernández, Francisco Marcelo
Garcia, Javier
Gutierrez, German
author2_role author
author
author
dc.subject.none.fl_str_mv Pt-Symmetric Strings
Spectrum
Bounds
Exceptional Points
Complex Borg Strings
Critical Parameters
Exact Sum Rules
topic Pt-Symmetric Strings
Spectrum
Bounds
Exceptional Points
Complex Borg Strings
Critical Parameters
Exact Sum Rules
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study both analytically and numerically the spectrum of inhomogeneous strings with PT-symmetric density. We discuss an exactly solvable model of PT-symmetric string which is isospectral to the uniform string; for more general strings, we calculate exactly the sum rules View the MathML source, with p=1,2,… and find explicit expressions which can be used to obtain bounds on the lowest eigenvalue. A detailed numerical calculation is carried out for two non-solvable models depending on a parameter, obtaining precise estimates of the critical values where pair of real eigenvalues become complex.
Fil: Amore, Paolo. Universidad de Colima; México
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
Fil: Garcia, Javier. 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
Fil: Gutierrez, German. Universidad de Colima; México
description We study both analytically and numerically the spectrum of inhomogeneous strings with PT-symmetric density. We discuss an exactly solvable model of PT-symmetric string which is isospectral to the uniform string; for more general strings, we calculate exactly the sum rules View the MathML source, with p=1,2,… and find explicit expressions which can be used to obtain bounds on the lowest eigenvalue. A detailed numerical calculation is carried out for two non-solvable models depending on a parameter, obtaining precise estimates of the critical values where pair of real eigenvalues become complex.
publishDate 2014
dc.date.none.fl_str_mv 2014-04
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/11336/5152
Amore, Paolo ; Fernández, Francisco Marcelo; Garcia, Javier; Gutierrez, German; P T -symmetric strings; Elsevier; Annals Of Physics (new York); 343; 4-2014; 61-71
0003-4916
url http://hdl.handle.net/11336/5152
identifier_str_mv Amore, Paolo ; Fernández, Francisco Marcelo; Garcia, Javier; Gutierrez, German; P T -symmetric strings; Elsevier; Annals Of Physics (new York); 343; 4-2014; 61-71
0003-4916
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0003491614000141
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2014.01.013
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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 12.982451

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