Matches in SemOpenAlex for { <https://semopenalex.org/work/W2893531193> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2893531193 abstract "In this article we take a close look at three types of transformations usable in the Schwarzschild black hole perturbation theory: a standard (DT), a binary (BDT) and a generalized (GDT) Darboux transformations. In particular, we discuss the absolutely crucial property of {em isospectrality} of the aforementioned transformations which guarantees that the quasinormal mode (QNM) spectra of potentials, related via the transformation, completely coincide. We demonstrate that, while the first two types of the Darboux transformations (DT and BDT) are indeed isospectral, the situation is wildly different for the GDT: it violates the isospectrality requirement and is therefore only valid for the solutions with just one fixed frequency. Furthermore, it is shown that although in this case the GDT does provide a relationship between two arbitrary potentials (a short-ranged and a long-ranged potentials relationship being just a trivial example), this relationship ends up being completely formal. Finally, we consider frequency-dependent potentials. A new generalization of the Darboux transformation is constructed for them and it is proven (on a concrete example) that such transformations are also not isospectral. In short, we demonstrate how a little, almost incorporeal flaw may become a major problem for an otherwise perfectly admirable goal of mathematical generalization." @default.
- W2893531193 created "2018-10-05" @default.
- W2893531193 creator A5032997454 @default.
- W2893531193 creator A5079922169 @default.
- W2893531193 date "2019-08-01" @default.
- W2893531193 modified "2023-09-26" @default.
- W2893531193 title "A look at the generalized Darboux transformations for the quasinormal spectra in Schwarzschild black hole perturbation theory: Just how general should it be?" @default.
- W2893531193 cites W1968833481 @default.
- W2893531193 cites W1988281968 @default.
- W2893531193 cites W2009307604 @default.
- W2893531193 cites W2013856706 @default.
- W2893531193 cites W2024824957 @default.
- W2893531193 cites W2028483511 @default.
- W2893531193 cites W2040216147 @default.
- W2893531193 cites W2060311710 @default.
- W2893531193 cites W2061831414 @default.
- W2893531193 cites W2069764580 @default.
- W2893531193 cites W2080448741 @default.
- W2893531193 cites W2110284565 @default.
- W2893531193 cites W2128128433 @default.
- W2893531193 cites W2134783381 @default.
- W2893531193 cites W2231773349 @default.
- W2893531193 cites W3098089129 @default.
- W2893531193 cites W3098576385 @default.
- W2893531193 cites W3101664651 @default.
- W2893531193 cites W3103204141 @default.
- W2893531193 cites W4250706875 @default.
- W2893531193 doi "https://doi.org/10.1016/j.physleta.2019.05.024" @default.
- W2893531193 hasPublicationYear "2019" @default.
- W2893531193 type Work @default.
- W2893531193 sameAs 2893531193 @default.
- W2893531193 citedByCount "5" @default.
- W2893531193 countsByYear W28935311932020 @default.
- W2893531193 countsByYear W28935311932021 @default.
- W2893531193 countsByYear W28935311932022 @default.
- W2893531193 crossrefType "journal-article" @default.
- W2893531193 hasAuthorship W2893531193A5032997454 @default.
- W2893531193 hasAuthorship W2893531193A5079922169 @default.
- W2893531193 hasBestOaLocation W28935311932 @default.
- W2893531193 hasConcept C104317684 @default.
- W2893531193 hasConcept C115304011 @default.
- W2893531193 hasConcept C121332964 @default.
- W2893531193 hasConcept C124017977 @default.
- W2893531193 hasConcept C134306372 @default.
- W2893531193 hasConcept C136125196 @default.
- W2893531193 hasConcept C147452769 @default.
- W2893531193 hasConcept C174256460 @default.
- W2893531193 hasConcept C177148314 @default.
- W2893531193 hasConcept C177918212 @default.
- W2893531193 hasConcept C185592680 @default.
- W2893531193 hasConcept C204241405 @default.
- W2893531193 hasConcept C2779710842 @default.
- W2893531193 hasConcept C2780870619 @default.
- W2893531193 hasConcept C33332235 @default.
- W2893531193 hasConcept C33923547 @default.
- W2893531193 hasConcept C37914503 @default.
- W2893531193 hasConcept C55493867 @default.
- W2893531193 hasConcept C62520636 @default.
- W2893531193 hasConceptScore W2893531193C104317684 @default.
- W2893531193 hasConceptScore W2893531193C115304011 @default.
- W2893531193 hasConceptScore W2893531193C121332964 @default.
- W2893531193 hasConceptScore W2893531193C124017977 @default.
- W2893531193 hasConceptScore W2893531193C134306372 @default.
- W2893531193 hasConceptScore W2893531193C136125196 @default.
- W2893531193 hasConceptScore W2893531193C147452769 @default.
- W2893531193 hasConceptScore W2893531193C174256460 @default.
- W2893531193 hasConceptScore W2893531193C177148314 @default.
- W2893531193 hasConceptScore W2893531193C177918212 @default.
- W2893531193 hasConceptScore W2893531193C185592680 @default.
- W2893531193 hasConceptScore W2893531193C204241405 @default.
- W2893531193 hasConceptScore W2893531193C2779710842 @default.
- W2893531193 hasConceptScore W2893531193C2780870619 @default.
- W2893531193 hasConceptScore W2893531193C33332235 @default.
- W2893531193 hasConceptScore W2893531193C33923547 @default.
- W2893531193 hasConceptScore W2893531193C37914503 @default.
- W2893531193 hasConceptScore W2893531193C55493867 @default.
- W2893531193 hasConceptScore W2893531193C62520636 @default.
- W2893531193 hasLocation W28935311931 @default.
- W2893531193 hasLocation W28935311932 @default.
- W2893531193 hasOpenAccess W2893531193 @default.
- W2893531193 hasPrimaryLocation W28935311931 @default.
- W2893531193 hasRelatedWork W1149120 @default.
- W2893531193 hasRelatedWork W15285510 @default.
- W2893531193 hasRelatedWork W23641890 @default.
- W2893531193 hasRelatedWork W25844723 @default.
- W2893531193 hasRelatedWork W28843327 @default.
- W2893531193 hasRelatedWork W36761437 @default.
- W2893531193 hasRelatedWork W41233932 @default.
- W2893531193 hasRelatedWork W43841337 @default.
- W2893531193 hasRelatedWork W5309460 @default.
- W2893531193 hasRelatedWork W9594378 @default.
- W2893531193 isParatext "false" @default.
- W2893531193 isRetracted "false" @default.
- W2893531193 magId "2893531193" @default.
- W2893531193 workType "article" @default.