THE SCHRÖDINGER PICTURE OF THE DIRAC QUANTUM MECHANICS ON SPATIALLY FLAT ROBERTSON–WALKER BACKGROUNDS

Author:

COTĂESCU ION I.1

Affiliation:

1. West University of Timişoara, V. Pârvan Ave. 4, RO-300223 Timişoara, Romania

Abstract

The time evolution Schrödinger 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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