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In the early Universe, or near a supernova core, neutrino flavor evolutionmay be affected by coherent neutrino-neutrino scattering. We develop amicroscopic picture of this phenomenon. We show that coherent scattering doesnot lead to the formation of entangled states in the neutrino ensemble andtherefore the evolution of the system can always be described by a set ofone-particle equations. We also show that the previously accepted formalismovercounts the neutrino interaction energy; the correct one-particle evolutionequations for both active-active and active-sterile oscillations containadditional terms. These additional terms modify the index of refraction of theneutrino medium, but have no effect on oscillation physics.Comment: 12 pages, 3 figures, minor typos correcte

Neutrino flavor conversion in a neutrino background: Single- versus multi-particle description