We present a thought experiment and study the neutrino oscillation probability inside an infinite square well potential. Following Pontecorvo’s approach, neutrino oscillation is visualized with respect to time for both relativistic and non-relativistic scenarios. In this regard, the dependence of the oscillation probability on the principle quantum number is seen. In addition, a contrasting result of non-zero oscillation probability is observed even if the neutrino mass eigenstates were degenerate.

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A Thought Experiment on Neutrino Oscillation

  • Pralay Chakraborty,
  • Subhankar Roy

摘要

We present a thought experiment and study the neutrino oscillation probability inside an infinite square well potential. Following Pontecorvo’s approach, neutrino oscillation is visualized with respect to time for both relativistic and non-relativistic scenarios. In this regard, the dependence of the oscillation probability on the principle quantum number is seen. In addition, a contrasting result of non-zero oscillation probability is observed even if the neutrino mass eigenstates were degenerate.