- AutorIn
- Zhirayr Avetisyan
- Titel
- Mode decomposition and Fourier analysis of physical fields in homogeneous cosmology
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa-107907
- Datum der Einreichung
- 12.07.2012
- Datum der Verteidigung
- 03.07.2013
- Abstract (EN)
- In this work the methods of mode decomposition and Fourier analysis of quantum fields on curved spacetimes previously available mainly for the scalar fields on Friedman-Robertson-Walker spacetimes are extended to arbitrary vector fields on general spatially homogeneous spacetimes. This is done by developing a rigorous unified framework which incorporates mode decomposition, harmonic analysis and Fourier analysis. Explicit constructions are performed for a variety of situations arising in homogeneous cosmology. A number of results concerning classical and quantum fields known for very restricted situations are generalized to cover almost all cosmological models.
- Freie Schlagwörter (DE)
- Modus Zersetzung, homogene Kosmologie, harmonische Analyse, Bianchi Gruppen
- Freie Schlagwörter (EN)
- Mode decomposition, homogeneous cosmology, harmonic analysis, Bianchi groups
- Klassifikation (DDC)
- 530
- GutachterIn
- Prof Dr Rainer Verch
- Prof Dr Claudio Dappiaggi
- BetreuerIn
- Prof Dr Rainer Verch
- Den akademischen Grad verleihende / prüfende Institution
- Universität Leipzig, Leipzig
- URN Qucosa
- urn:nbn:de:bsz:15-qucosa-107907
- Veröffentlichungsdatum Qucosa
- 15.03.2013
- Dokumenttyp
- Dissertation
- Sprache des Dokumentes
- Englisch