# Quantum mechanics of neutrino oscillations - hand waving for by Lipkin, H. J.; Argonne National Lab.; United States. Dept.

By Lipkin, H. J.; Argonne National Lab.; United States. Dept. of Energy.; United States. Dept. of Energy. Office of Scientific and Technical Information

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A gravitational is described by an arbitrary field. 6) nz2) = O also be a slowly varying function of the dist ante z. In that case, p for fixed E is also a slowly varying function the phase shift #(z) and mass is now expressed by generalizing of z and the x-dependence of Eq. 2) to a differential equation where we note that the result can also be expressed in terms of the change in energy with m’ for constant momentum, & () p, instead of vice versa and the group velocity also be expressed in terms of the time-dependence of the phase shift measured position.

Be lost. e. at what distance from begin to be lost. We now examine two different approaches to this problem and find that they give the same answer. 1. The centers of the wave packets move apart with the relative velocity eq. 14). 18) The wave packets will separate when this separation in space of the wave packet. The uncertainty distance is comparable to the length principle suggests that the length of the wave packet (6z)W satisfies the relation (&c)~ The ratio of the separation . 20) 2. Stodolsky [9] has suggested that one need not refer to the time development wave packet, but only to the neutrino energy spectrum.

Factorization introduced at the source is still an excellent approximation A detailed analysis of the separation process is given below. The v= – VP states with the same energy and different momenta are relevant rather than vice versa because the measurement is in space, not time, and flavor-time factorization holds 30 --–—- . :. ------ ...... .. . ... —-. -. -7.. .. .. in a definite region in space. In a realistic oscillation experiment the phase is important when the oscillation is of the same order as the distance between the source and the detector.