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    Using Neutrinos to test the Time-Energy Uncertainty Relation in an Extreme Regime

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    Date
    2012-10
    Author
    Raghavan, R. S.
    Minic, Djordje
    Takeuchi, Tatsu
    Tze, C. H.
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    Abstract
    We discuss a direct test of the relation of time and energy in the very long-lived decay of tritium (H3) (meanlife \tau ~ 18 yrs) with the width \Gamma ~ 10^{-24} eV [set by the time-energy uncertainty (TEU)], using the newfound possibility of resonance reactions H3 \leftrightarrow He3 with \Delta E/E ~ 5x10^{-29}. The TEU is a keystone of quantum mechanics, but probed for the first time in this extreme time-energy regime. Forestalling an apparent deviation from the TEU, we discuss the ramifications and a possible generalization of the TEU as \Delta E \Delta t > (\hbar/2)[1+(\Delta t/T)^n] where \Delta t = \tau is the time of measurement (the lifetime of the state), T=L/c the time for light to cross the Universe ~ 3x10^{18} s, and n a parameter subject to future measurements. (by R. S. Raghavan.)
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    http://hdl.handle.net/10919/73245
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    • All Faculty Deposits [3694]
    • Scholarly Works, Center for Neutrino Physics [112]

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