On neutrino oscillations and the time-energy uncertainty relation

Abstract

We consider neutrino oscillations as a nonstationary phenomenon based on the Schrödinger evolution equation and mixed neutrino states with definite flavor. We demonstrate that for such states, invariance under translations in time does not take place. We show that the time-energy uncertainty relation plays a crucial role in neutrino oscillations. We compare neutrino oscillations with K 0 ⇆ -K 0, B 0 ⇆ B 0 , and other oscillations.