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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2019 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2019
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| Онлайн доступ: | 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 |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862600674008629248 |
|---|---|
| author | Barata, J.C.A. Brum, M. |
| author_facet | Barata, J.C.A. Brum, M. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T21:24:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210235 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:51Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Barata, J.C.A. Brum, M. 2025-12-04T13:06:03Z 2019 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. 1815-0659 2010 Mathematics Subject Classification: 81T20 arXiv: 1708.00538 https://nasplib.isofts.kiev.ua/handle/123456789/210235 https://doi.org/10.3842/SIGMA.2019.060 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. MB received financial support from the São Paulo Research Foundation (FAPESP) under grant #2015/02975-4 during the preparation of this work. We would also like to thank the anonymous referees who made important comments on a previous version of this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Wavepackets on de Sitter Spacetime Article published earlier |
| spellingShingle | Wavepackets on de Sitter Spacetime Barata, J.C.A. Brum, M. |
| title | Wavepackets on de Sitter Spacetime |
| title_full | Wavepackets on de Sitter Spacetime |
| title_fullStr | Wavepackets on de Sitter Spacetime |
| title_full_unstemmed | Wavepackets on de Sitter Spacetime |
| title_short | Wavepackets on de Sitter Spacetime |
| title_sort | wavepackets on de sitter spacetime |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210235 |
| work_keys_str_mv | AT baratajca wavepacketsondesitterspacetime AT brumm wavepacketsondesitterspacetime |