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Neutrino oscillations: quantum mechanics vs. quantum field theory

  • Evgeny Kh. Akhmedov
  • Joachim KoppEmail author
Open Access
Article

Abstract

A consistent description of neutrino oscillations requires either the quantum-mechanical (QM) wave packet approach or a quantum field theoretic (QFT) treatment. We compare these two approaches to neutrino oscillations and discuss the correspondence between them. In particular, we derive expressions for the QM neutrino wave packets from QFT and relate the free parameters of the QM framework, in particular the effective momentum uncertainty of the neutrino state, to the more fundamental parameters of the QFT approach. We include in our discussion the possibilities that some of the neutrino’s interaction partners are not detected, that the neutrino is produced in the decay of an unstable parent particle, and that the overlap of the wave packets of the particles involved in the neutrino production (or detection) process is not maximal. Finally, we demonstrate how the properly normalized oscillation probabilities can be obtained in the QFT framework without an ad hoc normalization procedure employed in the QM approach.

Keywords

Neutrino Physics Solar and Atmospheric Neutrinos 

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Copyright information

© The Author(s) 2010

Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  1. 1.Max-Planck-Institut für KernphysikHeidelbergGermany
  2. 2.National Research Centre Kurchatov InstituteMoscowRussia
  3. 3.Theoretical Physics DepartmentFermilabBataviaU.S.A.

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