New Dirac quantum modes in moving frames of the de Sitter spacetime
Ion I. Cot\u{a}escu
TL;DR
This paper introduces new Dirac quantum modes in moving frames of de Sitter spacetime using a recently defined Schrödinger picture, resulting in a complete set of polarized plane wave solutions.
Contribution
It presents a novel set of energy eigenspinors in de Sitter spacetime's moving charts, expanding the understanding of Dirac quantum modes in curved spacetime.
Findings
New energy eigenspinors behave as polarized plane waves
The solutions form a complete orthonormal system
The approach leverages the Schrödinger picture for curved spacetime
Abstract
Recently a new time-evolution picture of the Dirac quantum mechanics was defined in charts with spatially flat Robertson-Walker metrics, under the name of Schr\"{o}dinger picture [I. I. Cot\u{a}escu, arXiv:0708.0734] . In the present paper new Dirac quantum modes are found in moving charts of the de Sitter spacetime using the technical advantages offered by this picture. The principal result is a new set of energy eigenspinors which behave as polarized plane waves and form a complete system of orthonormalized solutions of the free Dirac equation.
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