The Dirac equation and the normalization of its solutions in a closed Friedmann-Robertson-Walker universe

Felix Finster; Moritz Reintjes

doi:10.1088/0264-9381/26/10/105021

Author(s)

Felix Finster
Moritz Reintjes

Detail(s)

Original language	English
Article number	105021
Journal / Publication	Classical and Quantum Gravity
Volume	26
Issue number	10
Publication status	Published - 30 Apr 2009
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1088/0264-9381/26/10/105021 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-77955221438&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(a77e0ce6-0372-4e5e-9fda-4b4551eebdbf).html

Abstract

We set up the Dirac equation in a Friedmann-Robertson-Walker geometry and separate the spatial and time variables. In the case of a closed universe, the spatial dependence is solved explicitly, giving rise to a discrete set of solutions. We compute the probability integral and analyze a spacetime normalization integral. This analysis allows us to introduce the fermionic projector in a closed Friedmann-Robertson-Walker geometry and to specify its global normalization as well as its local form. © 2009 IOP Publishing Ltd.

Bibliographic Note

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Citation Format(s)

[ RIS ] [ BibTeX ]

The Dirac equation and the normalization of its solutions in a closed Friedmann-Robertson-Walker universe. / Finster, Felix; Reintjes, Moritz.
In: Classical and Quantum Gravity, Vol. 26, No. 10, 105021, 30.04.2009.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Finster, F & Reintjes, M 2009, 'The Dirac equation and the normalization of its solutions in a closed Friedmann-Robertson-Walker universe', Classical and Quantum Gravity, vol. 26, no. 10, 105021. https://doi.org/10.1088/0264-9381/26/10/105021

Finster, F., & Reintjes, M. (2009). The Dirac equation and the normalization of its solutions in a closed Friedmann-Robertson-Walker universe. Classical and Quantum Gravity, 26(10), Article 105021. https://doi.org/10.1088/0264-9381/26/10/105021

Finster F, Reintjes M. The Dirac equation and the normalization of its solutions in a closed Friedmann-Robertson-Walker universe. Classical and Quantum Gravity. 2009 Apr 30;26(10):105021. doi: 10.1088/0264-9381/26/10/105021

Finster, Felix ; Reintjes, Moritz. / The Dirac equation and the normalization of its solutions in a closed Friedmann-Robertson-Walker universe. In: Classical and Quantum Gravity. 2009 ; Vol. 26, No. 10.