Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-01-17
Mod.Phys.Lett.A26:1613-1619,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 pages no figures
Scientific paper
10.1142/S0217732311036048
It is shown that on the de Sitter space-time the global behavior of the free Dirac spinors in momentum representation is determined by several phases factors which are functions of momentum with special properties. Such suitable phase functions can be chosen for writing down the free Dirac quantum modes of the spin basis that are well-defined even for the particles at rest in the moving local charts where the modes of the helicity basis remain undefined. Under quantization these modes lead to a basis in which the one-particle operators keep their usual forms apart from the energy operator which lays out a specific term which depend on the concrete phase function one uses.
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