Time-energy uncertainty relation for neutrino oscillations in curved spacetime
We derive the Mandelstam─Tamm time─energy uncertainty relation for neutrino oscillations in a generic stationary curved spacetime. In particular, by resorting to Stodolsky covariant formula of the quantum mechanical phase, we estimate gravity effects on the neutrino energy uncertainty. Deviations from the standard Minkowski result are explicitly evaluated in Schwarzschild, Lense─Thirring and Rindler (uniformly accelerated) geometries. Finally, we discuss how spacetime could affect the characteristic neutrino oscillation length in connection with the recent view of flavor neutrinos as unstable particles.
展开 ▾弯曲时空中中微子振荡的时间-能量不确定关系 · 推导了稳态弯曲时空下中微子振荡的Mandelstam-Tamm时间-能量不确定关系,并评估了引力对能量不确定度及振荡长度的影响。
预印本 2019-04-10 · 接收 2020-06-04 · 刊出 2020-07-10 · 收录 2026-08-20