The Schr\" odinger picture of the Dirac quantum mechanics on spatially flat Robertson-Walker backgrounds

Details The Schr\" odinger picture of the Dirac quantum mechanics on spatially flat Robertson-Walker backgrounds The Schr\" odinger picture of the Dirac quantum mechanics on spatially flat Robertson-Walker backgrounds

2007-08-06

arxiv.org/abs/0708.0734v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages 0 figures

Scientific paper

10.1142/S0217732307026035

The Schr\" odinger picture of the Dirac quantum mechanics is defined in charts with spatially flat Robertson-Walker metrics and Cartesian coordinates. The main observables of this picture are identified, including the interacting part of the Hamiltonian operator produced by the minimal coupling with the gravitational field. It is shown that in this approach new Dirac quantum modes on de Sitter spacetimes may be found analytically solving the Dirac equation.

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