The Schr\" odinger picture of the Dirac quantum mechanics on spatially flat Robertson-Walker backgrounds
Ion I. Cotaescu
TL;DR
This paper develops a Schrödinger picture for Dirac quantum mechanics in flat Robertson-Walker spacetimes, identifying key observables and analytically solving for new quantum modes on de Sitter backgrounds.
Contribution
It introduces a Schrödinger picture framework for Dirac particles in curved spacetimes and finds new quantum modes analytically on de Sitter backgrounds.
Findings
Identification of main observables including the Hamiltonian with gravitational coupling
Analytical solutions for new Dirac quantum modes on de Sitter spacetime
Framework applicable to spatially flat Robertson-Walker backgrounds
Abstract
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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