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Analytic results are presented for the probability of detecting an electron neutrino after passage through a resonant oscillation region. If the electron neutrino is produced far above the resonance density, this probability is simply given by 〈P₄〉sin^2₀+Pₗcos2₀, where ₀ is the vacuum mixing angle. The probability is averaged over the production as well as the detection positions of the neutrino and Pₗ is the Landau-Zener transition probability between adiabatic states. Finally, this result is applied to resonance oscillations within the solar interior.
Stephen Parke (Mon,) studied this question.