Resonant State Spectral expansions including bound-state contributions

Extensions of the Resonant State or (Quasi-normal mode) formalism are shown to permit unified descriptions of the true ’bound’ states within the framework of the ’leaky’ mode formulation of basis sets. We review recent progress in the famed ’normalization/regularization’ problems of the QNMs modes a...

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Main Authors: Stout Brian, Ben Soltane Isam, Bonod Nicolas
Format: Article
Language:English
Published: EDP Sciences 2023-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2023/13/epjconf_eosam2023_04023.pdf
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author Stout Brian
Ben Soltane Isam
Bonod Nicolas
author_facet Stout Brian
Ben Soltane Isam
Bonod Nicolas
author_sort Stout Brian
collection DOAJ
description Extensions of the Resonant State or (Quasi-normal mode) formalism are shown to permit unified descriptions of the true ’bound’ states within the framework of the ’leaky’ mode formulation of basis sets. We review recent progress in the famed ’normalization/regularization’ problems of the QNMs modes as well as the necessity of including ’background’ contributions whose expressions can be determined through response function sum-rules.
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spelling doaj.art-879d64882bc04411b4d1403111c6141d2023-11-07T10:20:28ZengEDP SciencesEPJ Web of Conferences2100-014X2023-01-012870402310.1051/epjconf/202328704023epjconf_eosam2023_04023Resonant State Spectral expansions including bound-state contributionsStout Brian0Ben Soltane Isam1Bonod Nicolas2Aix-Marseille Université, CNRS, Centrale Marseille, Institut FresnelAix-Marseille Université, CNRS, Centrale Marseille, Institut FresnelAix-Marseille Université, CNRS, Centrale Marseille, Institut FresnelExtensions of the Resonant State or (Quasi-normal mode) formalism are shown to permit unified descriptions of the true ’bound’ states within the framework of the ’leaky’ mode formulation of basis sets. We review recent progress in the famed ’normalization/regularization’ problems of the QNMs modes as well as the necessity of including ’background’ contributions whose expressions can be determined through response function sum-rules.https://www.epj-conferences.org/articles/epjconf/pdf/2023/13/epjconf_eosam2023_04023.pdf
spellingShingle Stout Brian
Ben Soltane Isam
Bonod Nicolas
Resonant State Spectral expansions including bound-state contributions
EPJ Web of Conferences
title Resonant State Spectral expansions including bound-state contributions
title_full Resonant State Spectral expansions including bound-state contributions
title_fullStr Resonant State Spectral expansions including bound-state contributions
title_full_unstemmed Resonant State Spectral expansions including bound-state contributions
title_short Resonant State Spectral expansions including bound-state contributions
title_sort resonant state spectral expansions including bound state contributions
url https://www.epj-conferences.org/articles/epjconf/pdf/2023/13/epjconf_eosam2023_04023.pdf
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AT bensoltaneisam resonantstatespectralexpansionsincludingboundstatecontributions
AT bonodnicolas resonantstatespectralexpansionsincludingboundstatecontributions