Wave packets and quantum oscillations

Abstract

We give a detailed analysis of the oscillation formula within the context of the wave packet formalism. Particular attention is made to insure flavor eigenstate creation in the physical cases (Delta p not equal 0). This requirement imposes non instantaneous particle creation in all frames. It is shown that the standard formula is not only exact when the mass wave packets have the same velocity, but it is a good approximation when minimal slippage occurs. For more general situations the oscillation formula contains additional arbitrary parameters, which allows for the unknown form of the wave packet envelope.

15 pages [8 figs], AMS-TeX

References in corpus (3)

• Neutrinos in Physics and Astrophysics
• The Phase of Neutrino Oscillations
• The Description of Neutrino and Muon Oscillations by Interfering Amplitudes of Classical Space-Time Paths

Cited by in corpus (12)

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• Intrinsic flavor violation for massive neutrinos
• Second-order corrections to neutrino two-flavor oscillation parameters in the wave packet approach
• Additional time-dependent phase in the flavor-conversion formulas
• Time-to-Space Conversion in Neutrino Oscillations
• Flavor mixing in a Lee-type model
• Wave and Particle Limit for Multiple Barrier Tunneling
• Influence of second-order corrections to the energy-dependence of neutrino flavor conversion formulae