A test for the existence of exceptional points in the Faddeev scattering problem

Bibliographic Details
Main Author: Lakshtanov, Evgeny
Publication Date: 2017
Other Authors: Vainberg, Boris
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/18268
Summary: Exceptional points are values of the spectral parameter for which the homogeneous Faddeev scattering problem has a nontrivial solution. We formulate a criterion for existence of exceptional points that belong to a given path. For this, we use measurements at the endpoints of the path. We also study the existence or absence of exceptional points for small perturbations of conductive potentials of arbitrary shape and show that problems with absorbing potentials do not have exceptional points in a neighborhood of the origin.
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spelling A test for the existence of exceptional points in the Faddeev scattering problemExceptional pointFaddeev Green’s functionConductive potentialExceptional points are values of the spectral parameter for which the homogeneous Faddeev scattering problem has a nontrivial solution. We formulate a criterion for existence of exceptional points that belong to a given path. For this, we use measurements at the endpoints of the path. We also study the existence or absence of exceptional points for small perturbations of conductive potentials of arbitrary shape and show that problems with absorbing potentials do not have exceptional points in a neighborhood of the origin.Springer2017-08-30T10:43:36Z2017-01-01T00:00:00Z2017-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18268eng1573-933310.1134/S0040Lakshtanov, EvgenyVainberg, Borisinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:02:44Zoai:ria.ua.pt:10773/18268Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:55:23.395901Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv A test for the existence of exceptional points in the Faddeev scattering problem
title A test for the existence of exceptional points in the Faddeev scattering problem
spellingShingle A test for the existence of exceptional points in the Faddeev scattering problem
Lakshtanov, Evgeny
Exceptional point
Faddeev Green’s function
Conductive potential
title_short A test for the existence of exceptional points in the Faddeev scattering problem
title_full A test for the existence of exceptional points in the Faddeev scattering problem
title_fullStr A test for the existence of exceptional points in the Faddeev scattering problem
title_full_unstemmed A test for the existence of exceptional points in the Faddeev scattering problem
title_sort A test for the existence of exceptional points in the Faddeev scattering problem
author Lakshtanov, Evgeny
author_facet Lakshtanov, Evgeny
Vainberg, Boris
author_role author
author2 Vainberg, Boris
author2_role author
dc.contributor.author.fl_str_mv Lakshtanov, Evgeny
Vainberg, Boris
dc.subject.por.fl_str_mv Exceptional point
Faddeev Green’s function
Conductive potential
topic Exceptional point
Faddeev Green’s function
Conductive potential
description Exceptional points are values of the spectral parameter for which the homogeneous Faddeev scattering problem has a nontrivial solution. We formulate a criterion for existence of exceptional points that belong to a given path. For this, we use measurements at the endpoints of the path. We also study the existence or absence of exceptional points for small perturbations of conductive potentials of arbitrary shape and show that problems with absorbing potentials do not have exceptional points in a neighborhood of the origin.
publishDate 2017
dc.date.none.fl_str_mv 2017-08-30T10:43:36Z
2017-01-01T00:00:00Z
2017-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/18268
url http://hdl.handle.net/10773/18268
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1573-9333
10.1134/S0040
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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