New Dirac quantum modes in moving frames of the de Sitter 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 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

References in corpus (6)

• Polarized Dirac fermions in de Sitter spacetime
• Quantum Fields in an Expanding Universe
• Absorption and quasinormal modes of classical fields propagating on 3D and 4D de Sitter spacetime
• The Dirac particle on de Sitter background
• Remarks on the spherical waves of the Dirac field on de Sitter spacetime
• The Schr\" odinger picture of the Dirac quantum mechanics on spatially flat Robertson-Walker backgrounds

Cited by in corpus (17)

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• The physical meaning of the de Sitter invariants
• The quantum theory of scalar fields on the de Sitter expanding universe
• Polarized vector bosons on the de Sitter expanding universe
• Integral representation of the Feynman propagators of the Dirac fermions on the de Sitter expanding universe
• Covariant representations of the de Sitter isometry group
• Rest frame vacuum of the Dirac field on spatially flat FLRW spacetimes
• The free Dirac spinors of the spin basis on the de Sitter expanding universe
• New conformal-like symmetry of strictly massless fermions in four-dimensional de Sitter space
• Fermion scattering by a class of Bardeen black holes
• Production of Z bosons and neutrinos in early universe
• Propagators of the Dirac fermions on spatially flat FLRW spacetimes
• A perturbative production of massive Z bosons and fermion-antifermion pairs from the vacuum in the de Sitter Universe
• Time evolution of the free Dirac field in spatially flat FLRW space-times
• Total probability and number of particles for fermion production in external electric and magnetic fields in de Sitter universe
• The eigenmodes for spinor quantum field theory in global de Sitter space-time