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I am hoping someone could clear up a few things about neutrinos oscillations for me.

For the sake of this dicussion let's set up the neutrino mixing equations in such a way that the flavor eigenstates are a superposition of mass eigenstates.

So now for example we have

[itex]|\nu_e>=\Sigma U_{1j}|\nu_j>[/itex]

Now here is where I am getting confused, the line above reads that the electron neutrino is a superposition of mass eigenstates, SO is ittheoreticallypossible to measure the mass of one electron neutrino and find it is say [itex]m_j[/itex] and then measure the mass of a different electron neutrino and find its mass to be [itex]m_k[/itex] where the two measured masses are not equal. I.E find a pair of eletron neutrinos that have different masses?

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# The difference between the weak and mass eigenstates in the PNMS matrix

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