New Dirac quantum modes in moving frames of the de Sitter spacetime
arXiv:0711.0816 · doi:10.1142/S0217751X08041566
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 Schrödinger picture [I. I. Cotăescu, 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.
15 pages, no figures