The Schr\" odinger picture of the Dirac quantum mechanics on 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.

6 pages 0 figures

References in corpus (1)

• Remarks on the spherical waves of the Dirac field on de Sitter spacetime

Cited by in corpus (11)

• The quantum theory of the free Maxwell field on the de Sitter expanding universe
• The quantum theory of scalar fields on the de Sitter expanding universe
• New Dirac quantum modes in moving frames of the de Sitter spacetime
• Polarized vector bosons on the de Sitter expanding universe
• First order QED effects on a spatially flat FLRW spacetime with a Milne-type scale factor
• New Spherical Scalar Modes on the de Sitter Expanding Universe
• Coulomb scattering for scalar field in Scr\" odinger picture
• Time evolution of the free Dirac field in spatially flat FLRW space-times
• Rest frame vacua of massive Klein-Gordon fields on spatially flat FLRW spacetimes
• Quantum theory of redshift in de Sitter expanding universe
• Dirac-Coulomb scattering with plane wave energy eigenspinors on de Sitter expanding universe