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

Finster, Felix and Reintjes, Moritz (2009) The Dirac equation and the normalization of its solutions in a closed Friedmann-Robertson-Walker universe. CLASSICAL AND QUANTUM GRAVITY, 26 (10): 105021. ISSN 0264-9381,

Full text not available from this repository. (Request a copy)

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.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Felix Finster
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Sep 2020 09:51
Last Modified: 14 Sep 2020 09:51
URI: https://pred.uni-regensburg.de/id/eprint/28962

Actions (login required)

View Item View Item