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dc.contributor.authorJuhász, David
dc.contributor.authorKolesik, Miro
dc.contributor.authorJakobsen, Per
dc.date.accessioned2021-09-20T08:39:37Z
dc.date.available2021-09-20T08:39:37Z
dc.date.issued2018-11-02
dc.description.abstractIn this paper, we investigate the completeness of the Stark resonant states for a particle in a square-well potential. We find that the resonant state expansions for target functions converge inside the potential well and that the existence of this convergence does not depend on the depth of the potential well, <i>V</i><sub>0</sub>. By analyzing the asymptotic form of the terms in these expansions, we prove some results on the relation between smoothness of target functions and the asymptotic rate of convergence of the corresponding resonant state expansion and show that the asymptotic rate of convergence is also independent of <i>V</i><sub>0</sub>, but the absolute size terms in the series asymptotically goes as <i>V</i><sup>−1</sup><sub>0</sub>.en_US
dc.descriptionThis article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.en_US
dc.identifier.citationJuhász, D., Kolesik, M. & Jakobsen, P.K. (2018). Convergence and completeness for square-well Stark resonant state expansions. <i>Journal of Mathematical Physics, 59</i>(11), 113501.en_US
dc.identifier.cristinIDFRIDAID 1645173
dc.identifier.doi10.1063/1.5042523
dc.identifier.issn0022-2488
dc.identifier.issn1089-7658
dc.identifier.urihttps://hdl.handle.net/10037/22583
dc.language.isoengen_US
dc.publisherAIP Publishingen_US
dc.relation.ispartofJuhász, D. (2021). Nonlinear optics. (Doctoral thesis). <a href=https://hdl.handle.net/10037/22578>https://hdl.handle.net/10037/22578</a>.
dc.relation.journalJournal of Mathematical Physics
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2018 AIP Publishingen_US
dc.subjectVDP::Mathematics and natural science: 400::Physics: 430::Electromagnetism, acoustics, optics: 434en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Fysikk: 430::Elektromagnetisme, akustikk, optikk: 434en_US
dc.titleConvergence and completeness for square-well Stark resonant state expansionsen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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