Displacement memory effect from supersymmetry

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dc.authorid0000-0001-7968-3788
dc.authorid0000-0002-4802-7152
dc.contributor.authorCatak, Erdal
dc.contributor.authorElbistan, Mahmut
dc.contributor.authorMullahasanoglu, Mustafa
dc.date.accessioned2026-04-04T18:55:54Z
dc.date.available2026-04-04T18:55:54Z
dc.date.issued2025
dc.departmentİstanbul Bilgi Üniversitesi
dc.description.abstractWe explain the recent results on the displacement memory effect (DME) of plane gravitational waves using supersymmetric quantum mechanics. This novel approach stems from that both the geodesic and the Schr & ouml;dinger equations are Sturm-Liouville boundary value problems. Supersymmetry provides a unified framework for the P & ouml;schl-Teller and the Scarf profiles and yields the critical values of the associated wave amplitudes for DME in a natural way. Within our framework, we obtain a compact formula for DME in terms of the asymptotic values of the superpotential and the geodesics. In addition, this new technique enables us to build plane and gravitational waves with 2-transverse directions using superpartner potentials. Lastly, we study DME within a singular wave profile inspired by supersymmetric quantum mechanics, which demonstrates the broader applicability of our method.
dc.description.sponsorshipScientific and Technological Research Council of Turkiye (TUBITAK); Istanbul Bilgi University research fund (BAP) [2024.01.009]; Scientific and Technological Research Council of Turkey (TUBITAK) [125F021, 122F451, 123N952]; TUBITAK BIDEB 2232-A program [121C067]
dc.description.sponsorshipOpen access funding provided by the Scientific and Technological Research Council of Turkiye (TUBITAK). M. E. is supported by Istanbul Bilgi University research fund (BAP) with grant no: 2024.01.009 and by The Scientific and Technological Research Council of Turkey (TUBITAK) under grant number 125F021. M. E. is also funded partially by the TUBITAK BIDEB 2232-A program under project number 121C067. M. M. is supported by the Scientific and Technological Research Council of Turkey (TUBITAK) under grant numbers 122F451 and 123N952. E. C. is partially funded by the Scientific and Technological Research Council of Turkey (TUBITAK) under grant number 125F021.
dc.identifier.doi10.1140/epjp/s13360-025-06516-5
dc.identifier.doi10.1140/epjp/s13360-025-06516-5
dc.identifier.issn2190-5444
dc.identifier.issue6
dc.identifier.scopus2-s2.0-105008501725
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1140/epjp/s13360-025-06516-5
dc.identifier.urihttps://hdl.handle.net/11411/10613
dc.identifier.volume140
dc.identifier.wosWOS:001510029100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Heidelberg
dc.relation.ispartofEuropean Physical Journal Plus
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260402
dc.snmzKA_Scopus_20260402
dc.subjectEquation
dc.titleDisplacement memory effect from supersymmetry
dc.typeArticle

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