The Schrödinger picture of the Dirac quantum mechanics on spatially flat Robertson-Walker backgrounds
Aug, 20075 pages
Published in:
- Mod.Phys.Lett.A 22 (2007) 2965-2969
- Published: 2007
e-Print:
- 0708.0734 [gr-qc]
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Abstract: (arXiv)
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.Note:
- 6 pages 0 figures
- 04.62.+v
- Dirac equation
- spatially flat Robertson-Walker metrics
- time evolution picture
- relativistic observables
- quantum mechanics: relativistic
- space-time: de Sitter
- Dirac equation: solution
- space-time: Robertson-Walker
- Schroedinger equation
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