Wavepackets on de Sitter Spacetime

We construct wavepackets on de Sitter spacetime, with masses consistently defined from the eigenvalues of an irreducible representation of a Casimir element in the universal enveloping algebra of the Lorentz algebra, and analyse their asymptotic behaviour. Furthermore, we show that, in the limit as...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2019
Hauptverfasser: Barata, J.C.A., Brum, M.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2019
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/210235
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Wavepackets on de Sitter Spacetime / J.C.A. Barata, M. Brum // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 59 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung:We construct wavepackets on de Sitter spacetime, with masses consistently defined from the eigenvalues of an irreducible representation of a Casimir element in the universal enveloping algebra of the Lorentz algebra, and analyse their asymptotic behaviour. Furthermore, we show that, in the limit as the de Sitter radius tends to infinity, the wavepackets tend to the wavepackets of Minkowski spacetime, and the plane waves arising after contraction have support sharply located on the mass shell.
ISSN:1815-0659