Neutrino wave equation in the Robertson-Walker geometry

Physics

Scientific paper

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Scientific paper

The massless Dirac equation is separated in the Robertson-Walker geometry. The Schrödinger-like one-dimensional equation to which the problem is reduced is shown to admit a discrete positive spectrum. The existence or nonexistence of the discrete neutrino energy spectrum is connected, in the case of the standard cosmology, with the assumption that the universe is closed or not.

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